The members of the board of directors shall meet the qualifications established in section 37-90-121 (1)(b). Each member of the board shall take an oath or affirmation in accordance with section 24-12-101, shall give bond in the sum of five thousand dollars conditioned that he or she shall faithfully perform the duties of director and of such further office to which he or she may be elected in such district, and shall account for all funds or property coming into his or her hands as such director or other officer. Such bonds shall run to the district, shall be signed by a surety approved by the ground water commission, and shall be filed and recorded in the office of the state engineer. When such bond is so filed and approved, such person so elected shall take and hold office until his or her successor is elected and qualified. When a vacancy occurs on the board, such vacancy shall be filled by the remaining members of the board.