Finding the Third Proportional to 10,624 and 12,568

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 12,568 = 12,568 : x
2. Step 2: Convert to fraction form
   10,624/12,568 = 12,568/x
3. Step 3: Cross multiply
   10,624x = 12,568 × 12,568
4. Step 4: Simplify right side
   10,624x = 157,954,624
5. Step 5: Solve for x
   x = 157,954,624/10,624
6. Step 6: Final answer
   x = 14,867.72