Finding the Third Proportional to 15,616 and 34,144

Step by Step Solution

1. Step 1: Write the proportion equation
   15,616 : 34,144 = 34,144 : x
2. Step 2: Convert to fraction form
   15,616/34,144 = 34,144/x
3. Step 3: Cross multiply
   15,616x = 34,144 × 34,144
4. Step 4: Simplify right side
   15,616x = 1,165,812,736
5. Step 5: Solve for x
   x = 1,165,812,736/15,616
6. Step 6: Final answer
   x = 74,655.02