Finding the Third Proportional to 32,952.38 and 77,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,952.38 : 77,755.50 = 77,755.50 : x
2. Step 2: Convert to fraction form
   32,952.38/77,755.50 = 77,755.50/x
3. Step 3: Cross multiply
   32,952.38x = 77,755.50 × 77,755.50
4. Step 4: Simplify right side
   32,952.38x = 6,045,917,780.25
5. Step 5: Solve for x
   x = 6,045,917,780.25/32,952.38
6. Step 6: Final answer
   x = 183,474.42