Hover your cursor atop Friends and click on Find Friends and you get this page, except you’ll likely have pictures.
These are your friends’ friends. You can decide to ask these people to be your friends by clicking “Add as friend” or X to remove them from this list.
You might also find it easier to go to one of your friends and just look at that person’s friends. If you recognize one, then go to that person’s page and do your friend request from there while you look through their pictures, etc., and add a personal message so the recipient can identify you.
You can also search for friends using commonality like the schools you went to or companies you worked for.