Within 90 days after the adoption of the plan of water management, the secretary of the board of water management commissioners shall prepare and transmit a certified copy thereof to the court of probate of the county in which the district is organized, and at the same time the board of water management commissioners shall file with said court of probate a petition to appoint viewers to appraise the lands within and without said district to be acquired for rights-of-way on the works of improvement of the district and to assess benefits and damages according to all lands in the district and other property by reason of the execution of the plan of water management. Within 30 days after the filing of such petition, the court of probate shall by an order appoint a board of viewers consisting of three viewers who shall be disinterested owners of realty in the county or counties involved. A majority of said viewers shall constitute a quorum and shall control the actions of the board of viewers on all questions.