Finding the Third Proportional to 33,985.13 and 72,892.69

Step by Step Solution

1. Step 1: Write the proportion equation
   33,985.13 : 72,892.69 = 72,892.69 : x
2. Step 2: Convert to fraction form
   33,985.13/72,892.69 = 72,892.69/x
3. Step 3: Cross multiply
   33,985.13x = 72,892.69 × 72,892.69
4. Step 4: Simplify right side
   33,985.13x = 5,313,343,890.97
5. Step 5: Solve for x
   x = 5,313,343,890.97/33,985.13
6. Step 6: Final answer
   x = 156,343.22