Finally: Be prepared for the long game. He might not feel a need to contact you for 10, 20, 30 years. Might not be ever.
Give him your info, keep your Facebook status current, and then wait.
People go through life changes when they marry, when they have kids and when the kids grow up. It might be one of those life changes that triggers a need for a sister. Please be patient and don't think there's anything wrong with you if your new brother does not "jump" into your life immediately.
After all, I did not feel a need to search for my bio-parents until I was 43, after my own parents had both died. That was my life change trigger.