Finding the Third Proportional to 33,534 and 71,066.11

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 71,066.11 = 71,066.11 : x
2. Step 2: Convert to fraction form
   33,534/71,066.11 = 71,066.11/x
3. Step 3: Cross multiply
   33,534x = 71,066.11 × 71,066.11
4. Step 4: Simplify right side
   33,534x = 5,050,391,901.70
5. Step 5: Solve for x
   x = 5,050,391,901.70/33,534
6. Step 6: Final answer
   x = 150,605.11