Promptly following the date of the governor’s proclamation above provided for, and at least ten (10) days before each subsequent election, the respective county clerks of each of the counties to be included within the drainage district aforesaid shall designate a place or places for the holding of the election provided for in said proclamation and shall name three (3) judges and two (2) clerks for each of the precincts thus designated, who shall be resident freeholders of said district.