Finding the Third Proportional to 10,536 and 12,728

Step by Step Solution

1. Step 1: Write the proportion equation
   10,536 : 12,728 = 12,728 : x
2. Step 2: Convert to fraction form
   10,536/12,728 = 12,728/x
3. Step 3: Cross multiply
   10,536x = 12,728 × 12,728
4. Step 4: Simplify right side
   10,536x = 162,001,984
5. Step 5: Solve for x
   x = 162,001,984/10,536
6. Step 6: Final answer
   x = 15,376.04