All terrific posts above. Proceed to eagle without pause - so many benefits. my uncle and DS are eagles and I'll just share:
1. There are on specific (not all) like AFROTC applications a box you can check for Eagle/ Senior Patrol leadership. So if you apply it could help you. Certainly the eagle plays well for colleges, your SA/ ROTC applications, and even job applications in life. Dads of women my DS has or is now dating really seem impressed by it, too (just sayin). It's sweet and better that kind of relationship than animosity.
2. Beyond eagle and that check the box, or personal fulfillment if you can afford Philmont. that's great. The order of the arrow provided a nice advancement of leadership opportunities for my DS while in HS.
3. The reality is that there are for each of the past six years more than 50,000 eagle scouts now achieving the rank annually on average, so it's perhaps not as distinctive as it once was on the application. So I would round out that great accomplishment with others to strengthen your application - scholar, athlete, leader, civic impact. How do you make a difference in the classroom, community, on the athletic field - how do you lead through change, diversity, etc.
4. OK, just my take, but I've seen a groupings - some who are eagles who soar on in college, SAs/ROTC, astronauts, governors, presidents, corp titans, - awesome potential realized adults. and there are also some who earn the eagle scout as the highlight of their life, and they seem to "retire" on that laurel, name drop being an eagle scout relentlessly, and consider it the same honor as someone who saved 4000 people during the tet offensive or who were in on the raid for OBL. I find it sad. A few of my son's peers are now 21-24 years old, still full time at the unit and all activities, are working at the same jobs they had in HS (asst .bank teller for 13k a year) are on an 8-12 year undergrad plan, and that's the life they enjoy. I'm just saying that it's OK too if you find yourself feeling ready to pull back a little from the unit and to move on vs the same routine? Some do and some don't - That's OK -- you be you. if my DS becomes a Dad then I hope he'll be involved with scouts, but as a young man in his 20s do I want his life revolving around camping with 12 -17 y.o. boys and girls (yes girls are now in "boy" scouts? Honestly I'm glad he's mostly too busy now to still hang on at the same places he did through cub and boy scouts. Fart contests, widdling, and singalongs are fun but honestly I'm glad he's got other adventures he's living with people his own age.