S.D. Codified Laws § 34-10-3
The board of county commissioners at the next regular, adjourned, or special session shall canvass the petition or petitions and if signed by the requisite number of resident electors, it shall order an election to be held in all voting precincts in the proposed district not less than forty nor more than sixty days from the date of such order, upon the question of the creation of the district and, subject to the creation thereof, for the election of seven trustees of such proposed district. It shall appoint from the resident electors of each voting precinct as established for the purpose of the last general election, and included within the boundaries of said proposed district, three judges and two clerks of election for each said voting precinct. If only a portion of a precinct as established under the general election laws is included in said district, the board shall have authority in its order calling said election to attach said territory to an adjacent precinct for the purpose of such election or to establish said area as a new precinct.
SDCL 34-10-3