Wyo. Stat. § 41-10-105
At the time of filing the petition or at any time subsequent thereto, and prior to the time of hearing on the petition a bond shall be filed, with security approved by the board of county commissioners, or a cash deposit made sufficient to pay all expenses connected with the proceedings in case the organization of the district be not effected. If at any time during the proceeding the board of county commissioners shall be satisfied that the bond first executed or the amount of cash deposit is insufficient in amount, it may require the execution of an additional bond or the deposit of additional cash within a time to be fixed, not less than ten (10) days distant, and upon failure of the petitioner to execute or deposit the same, the petition shall be dismissed.
W.S. 41-10-105