Finding the Third Proportional to 10,683 and 12,531

Step by Step Solution

1. Step 1: Write the proportion equation
   10,683 : 12,531 = 12,531 : x
2. Step 2: Convert to fraction form
   10,683/12,531 = 12,531/x
3. Step 3: Cross multiply
   10,683x = 12,531 × 12,531
4. Step 4: Simplify right side
   10,683x = 157,025,961
5. Step 5: Solve for x
   x = 157,025,961/10,683
6. Step 6: Final answer
   x = 14,698.68