Finding the Third Proportional to 34,496 and 75,616

Step by Step Solution

1. Step 1: Write the proportion equation
   34,496 : 75,616 = 75,616 : x
2. Step 2: Convert to fraction form
   34,496/75,616 = 75,616/x
3. Step 3: Cross multiply
   34,496x = 75,616 × 75,616
4. Step 4: Simplify right side
   34,496x = 5,717,779,456
5. Step 5: Solve for x
   x = 5,717,779,456/34,496
6. Step 6: Final answer
   x = 165,751.96