Of the five members first appointed to the division of land surveys advisory board, one shall be appointed for a term of one year, one for two years, one for three years, and two for four years. At the expiration of the term of each member, the Governor shall appoint a successor, who shall hold office for a term of four years and until his successor has been appointed and qualified. Vacancies in the office of the members of the advisory board shall be filled by appointment by the Governor for the unexpired term in the manner provided in Section 35-2-25.