Any person appointed as a member of the board of flood irrigation, within ten days after appointment, shall take, subscribe, and file in the office of the county auditor an oath to perform the duties of the office faithfully, and within the same time shall make, execute, and file in the auditor’s office a bond payable to the county, with sureties to be approved by the auditor, in such sum as shall be ordered by the board of county commissioners, conditioned for the faithful discharge of the member’s duties as a member of the board of flood irrigation.