The term 'establish' is defined as to SET up or FOUND on a firm or permanent basis. The crossword solutions for this term include 'STAY, ' 'BASE, ' 'SEAT, ' 'HOUSE, ' 'SHOW, ' 'FIX, ' 'PUT, ' 'SET, ' 'CRETE, ' 'ERECT, ' 'FOUND, ' 'PROVE, ' 'setup, ' 'START, ' 'CREATE, ' 'enroot, ' 'SETTLE, ' 'CHARTER, ' 'INSTALL, ' 'INSTATE, ' and 'SITUATE.' All of these words can be used to describe the act of establishing something, whether it be a physical structure, a relationship, or an idea. For example, 'STAY' can refer to staying in one place for a long period of time, which could be used to describe the establishment of a home. Similarly, 'BASE' can refer to the foundation of something, while 'SEAT' can refer to the location of something. 'HOUSE' and 'CRETE' can refer to the physical structure of a building, while 'ERECT' and 'FOUND' can refer to the act of constructing something. 'PROVE, ' 'setup, ' 'START, ' 'CREATE, ' 'enroot, ' 'SETTLE, ' 'CHARTER, ' 'INSTALL, ' 'INSTATE, ' and 'SITUATE' all refer to the process of establishing something, whether it be an idea, a relationship, or a physical structure.