Finding the Third Proportional to 10,440 and 11,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 11,496 = 11,496 : x
2. Step 2: Convert to fraction form
   10,440/11,496 = 11,496/x
3. Step 3: Cross multiply
   10,440x = 11,496 × 11,496
4. Step 4: Simplify right side
   10,440x = 132,158,016
5. Step 5: Solve for x
   x = 132,158,016/10,440
6. Step 6: Final answer
   x = 12,658.81