Finding the Third Proportional to 33,534 and 71,934

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 71,934 = 71,934 : x
2. Step 2: Convert to fraction form
   33,534/71,934 = 71,934/x
3. Step 3: Cross multiply
   33,534x = 71,934 × 71,934
4. Step 4: Simplify right side
   33,534x = 5,174,500,356
5. Step 5: Solve for x
   x = 5,174,500,356/33,534
6. Step 6: Final answer
   x = 154,306.09