The membership of a nonprofit dental service corporation organized under this act shall be comprised of the dentists who have executed participating agreements with the corporation: Provided, however, That no such corporation shall be issued a certificate of authority to engage in business until it shall have demonstrated, to the satisfaction of the commissioner of insurance that it has obtained participating agreements from at least fifty percent (50%) of the dentists licensed to practice, and engaged in practice, in the state of Kansas. The affairs of the corporation shall be managed by a board of directors comprised of ten (10) members, four (4) of whom shall be elected from among the corporations’ participating dentists and six (6) of whom shall be appointed from among the general public of the state of Kansas. With respect to the public members of the board, two (2) shall be appointed by the governor of the state of Kansas and the remainder by the commissioner of insurance. The terms of office of all directors shall be as defined in the bylaws of the corporation. The directors shall take the oath of office as in other corporations and duplicates of such subscribed oaths shall be forwarded to the commissioner of insurance for filing in his office. The bylaws shall specify the number of directors necessary to constitute a quorum which shall be not less than one more than one-half of the number of directors.