Finding the Third Proportional to 33,082 and 71,724

Step by Step Solution

1. Step 1: Write the proportion equation
   33,082 : 71,724 = 71,724 : x
2. Step 2: Convert to fraction form
   33,082/71,724 = 71,724/x
3. Step 3: Cross multiply
   33,082x = 71,724 × 71,724
4. Step 4: Simplify right side
   33,082x = 5,144,332,176
5. Step 5: Solve for x
   x = 5,144,332,176/33,082
6. Step 6: Final answer
   x = 155,502.45