GTO: ~11.5 km/s
GEO: ~14 km/s (but you don't need that speed since the end of the cable is much slower, orbit period of ~28days instead of 24 hours)
GEO <-> moon surface ~3.2km/s
superbe reddit source: https://www.reddit.com/r/space/comments/1ktjfi/deltav_map_of...