Finding the Third Proportional to 32,965.88 and 72,654.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,965.88 : 72,654.75 = 72,654.75 : x
2. Step 2: Convert to fraction form
   32,965.88/72,654.75 = 72,654.75/x
3. Step 3: Cross multiply
   32,965.88x = 72,654.75 × 72,654.75
4. Step 4: Simplify right side
   32,965.88x = 5,278,712,697.56
5. Step 5: Solve for x
   x = 5,278,712,697.56/32,965.88
6. Step 6: Final answer
   x = 160,126.58