(2) If two-thirds or more of the owners of the property directly benefited, which is liable for any of the cost of the sewers, drains or sewage disposal plants, file written remonstrances objecting to the proposed improvement, the board shall sustain the remonstrances, and no further proceedings in the matter of proposed improvements shall be had for a period of six months.
(3) If two-thirds of the owners of the property directly benefited by the proposed improvements do not file written remonstrances against the improvement, the board may proceed with the making of the improvement.