Finding the Third Proportional to 10,962 and 12,663

Step by Step Solution

1. Step 1: Write the proportion equation
   10,962 : 12,663 = 12,663 : x
2. Step 2: Convert to fraction form
   10,962/12,663 = 12,663/x
3. Step 3: Cross multiply
   10,962x = 12,663 × 12,663
4. Step 4: Simplify right side
   10,962x = 160,351,569
5. Step 5: Solve for x
   x = 160,351,569/10,962
6. Step 6: Final answer
   x = 14,627.95