Finding the Third Proportional to 34,471 and 71,156

Step by Step Solution

1. Step 1: Write the proportion equation
   34,471 : 71,156 = 71,156 : x
2. Step 2: Convert to fraction form
   34,471/71,156 = 71,156/x
3. Step 3: Cross multiply
   34,471x = 71,156 × 71,156
4. Step 4: Simplify right side
   34,471x = 5,063,176,336
5. Step 5: Solve for x
   x = 5,063,176,336/34,471
6. Step 6: Final answer
   x = 146,882.20