Remembering to use his echolocation this time, Peter comes in for the third time, swooping upward just so, throwing himself back at what he thinks is just the right moment -- and there!

"Fuck yeah!" he exults as his toes dig deep into the carpeting and hold. There's still a good deal of awkward swinging and wing-fluttering, but his grip is good enough that he can adjust himself for comfort without falling, and he does so.