Hello there and welcome aboard!
Most of the hitch mounted bike racks available on the market are universal fit items. I would recommend you to check out this Platform Hitch Bike Rack by SportRack. It is designed to carry up 2 bikes and fits 1 ¼” and 2” receivers. Moreover, it fits a wide range of bikes, including girl’s bikes, kid’s bikes, BMX bikes, mountain bikes, road bikes, etc. So, I guess it will work with your medium bike perfectly as well.
The rack is listed as good in stock. Follow the link to see more details:
http://www.carid.com/sportrack/sportrack-platform-bike-carrier-2163168.html