Finding the Third Proportional to 10,469 and 12,737

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 12,737 = 12,737 : x
2. Step 2: Convert to fraction form
   10,469/12,737 = 12,737/x
3. Step 3: Cross multiply
   10,469x = 12,737 × 12,737
4. Step 4: Simplify right side
   10,469x = 162,231,169
5. Step 5: Solve for x
   x = 162,231,169/10,469
6. Step 6: Final answer
   x = 15,496.34