Before the written undertaking mentioned in section 25-1907 shall operate to stay execution of the judgment or order, a petition in error must be filed in the district court, and the execution of the undertaking, and the sufficiency of the sureties must be approved by the judge or clerk of the court in which the judgment was rendered or order made. The judge or clerk of the court shall endorse approval upon the undertaking. The undertaking shall be filed in the court in which the judgment was rendered or order made.