Finding the Third Proportional to 10,624 and 12,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 12,496 = 12,496 : x
2. Step 2: Convert to fraction form
   10,624/12,496 = 12,496/x
3. Step 3: Cross multiply
   10,624x = 12,496 × 12,496
4. Step 4: Simplify right side
   10,624x = 156,150,016
5. Step 5: Solve for x
   x = 156,150,016/10,624
6. Step 6: Final answer
   x = 14,697.86