35. The total of the expenditure properly incurred by the shadow authority is to be divided among, and paid by, the County Council and the District Councils in such proportion as may be agreed between those councils; but, where the shadow authority notifies the Secretary of State that there is no such agreement, the Secretary of State may—
(a)determine the proportion in which that expenditure is to be divided and paid; and
(b)appoint an arbitrator for that purpose.