ASRS 2054937

Reporter 1

Our aircraft was on a 1 mile fine for Runway 25. Other aircraft was on a downwind leg for Runway 34. Both aircraft were reporting positions on the CTAF. We were on a less than 1 mile final for Runway 25 when other aircraft reported a short base to final (not previously announced) abeam the numbers for 34 and cut it into the numbers. We reported short final intersecting runway. aircraft continued to head to the numbers. At about 200 ft. from the runway we began our go-around procedure. As our aircraft was crossing the numbers for Runway 25 [the] other aircraft began to take off (no touch and go was announced) from their landing roll and started climbing into us. Roughly 200-300 ft. of separation. It seemed like the other aircraft was reporting semi-correct calls but was either not listening or situationally unaware of the aircraft around them. NMAC report filed with local controlling agency.

Reporter 2

During our visual approach to Runway 25 there was another aircraft in the right pattern for Runway 34. Both our aircraft and the other aircraft was making position calls on CTAF. As we were on short final for 25, the other aircraft reported they were turning short base abeam numbers for Runway 34. Our aircraft did state that we were short final and asked if he was a full stop which was given no response. The aircraft proceeded to make a touch- and-go when we executed the missed approach procedure. At this point the aircraft was roughly 300 feet below us. A NMAC report was filed by my Captain with the local ATC facility.