The term 'push on' can be interpreted in many ways, but the crossword solutions provide a few specific definitions. The first solution is 'TRAVEL, ' which is defined as the act of going from one place to another. The second solution is 'JOURNEY, ' which is a longer trip that usually involves an adventure or exploration. The third solution is 'GO, ' which is a more general term for moving from one place to another. The fourth solution is 'PASS, ' which is a verb meaning to move past something or someone. The fifth solution is 'PROPEL, ' which is a verb meaning to drive or push forward. The sixth solution is 'PERSEVERE, ' which is a verb meaning to continue despite difficulties or obstacles. All of these words are related to the idea of pushing on, whether it be physically, mentally, or emotionally.