Finding the Third Proportional to 33,272.50 and 72,986.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,272.50 : 72,986.25 = 72,986.25 : x
2. Step 2: Convert to fraction form
   33,272.50/72,986.25 = 72,986.25/x
3. Step 3: Cross multiply
   33,272.50x = 72,986.25 × 72,986.25
4. Step 4: Simplify right side
   33,272.50x = 5,326,992,689.06
5. Step 5: Solve for x
   x = 5,326,992,689.06/33,272.50
6. Step 6: Final answer
   x = 160,101.97