Finding the Third Proportional to 34,290 and 71,496

Step by Step Solution

1. Step 1: Write the proportion equation
   34,290 : 71,496 = 71,496 : x
2. Step 2: Convert to fraction form
   34,290/71,496 = 71,496/x
3. Step 3: Cross multiply
   34,290x = 71,496 × 71,496
4. Step 4: Simplify right side
   34,290x = 5,111,678,016
5. Step 5: Solve for x
   x = 5,111,678,016/34,290
6. Step 6: Final answer
   x = 149,071.97