Finding the Third Proportional to 34,468 and 71,496

Step by Step Solution

1. Step 1: Write the proportion equation
   34,468 : 71,496 = 71,496 : x
2. Step 2: Convert to fraction form
   34,468/71,496 = 71,496/x
3. Step 3: Cross multiply
   34,468x = 71,496 × 71,496
4. Step 4: Simplify right side
   34,468x = 5,111,678,016
5. Step 5: Solve for x
   x = 5,111,678,016/34,468
6. Step 6: Final answer
   x = 148,302.14