Finding the Third Proportional to 33,082 and 71,156

Step by Step Solution

1. Step 1: Write the proportion equation
   33,082 : 71,156 = 71,156 : x
2. Step 2: Convert to fraction form
   33,082/71,156 = 71,156/x
3. Step 3: Cross multiply
   33,082x = 71,156 × 71,156
4. Step 4: Simplify right side
   33,082x = 5,063,176,336
5. Step 5: Solve for x
   x = 5,063,176,336/33,082
6. Step 6: Final answer
   x = 153,049.28