If the governing body shall determine that the improvement or improvements shall be constructed or installed under Subsection B(2)(a)[2] above, the Planning Board shall, as provided in Subsection B(3) of this section, estimate the difference between the total costs to be incurred and the total amount by which all properties to be benefited thereby, including the subdivision property or tract, will be specifically benefited by the improvement, and the subdivider or developer shall be liable to the municipality therefor, as well as for the amount of any special assessments against the subdivision property or tract for benefits conferred by the improvement or improvements. Further, the governing body shall adopt an ordinance authorizing and providing for the financing of the improvement or improvements and the assessment of benefits arising therefor in a manner consistent with the obligation of the subdivider or developer with respect thereto, and proceedings under said ordinance shall be in accordance with Chapter 56 of Title 40 of the Revised Statutes, except to the extent modified by the obligation of the subdivider or developer for any excess of total costs over total benefits conferred, as set forth above.