Finding the Third Proportional to 34,864 and 71,581

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864 : 71,581 = 71,581 : x
2. Step 2: Convert to fraction form
   34,864/71,581 = 71,581/x
3. Step 3: Cross multiply
   34,864x = 71,581 × 71,581
4. Step 4: Simplify right side
   34,864x = 5,123,839,561
5. Step 5: Solve for x
   x = 5,123,839,561/34,864
6. Step 6: Final answer
   x = 146,966.49