Kelly Melcher Furnishings made purchases at a net cost of 36,458.00 after a series discountof 20/20/10. Find the list price.

Question

let the original list price be $x and now use this argument:

after the first discount the price would be .8x -----> (100% - 20% = 80% or .8)
after the second discount, the price would be .8(.8x) and after the last discount the price would be .1(.8)(.8)x

so .1(.8)(.8)x = 36458 solve for x
(I got $63,295.14)