Finding the Third Proportional to 10,524 and 12,716

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 12,716 = 12,716 : x
2. Step 2: Convert to fraction form
   10,524/12,716 = 12,716/x
3. Step 3: Cross multiply
   10,524x = 12,716 × 12,716
4. Step 4: Simplify right side
   10,524x = 161,696,656
5. Step 5: Solve for x
   x = 161,696,656/10,524
6. Step 6: Final answer
   x = 15,364.56