Finding the Third Proportional to 10,816 and 13,728

Step by Step Solution

1. Step 1: Write the proportion equation
   10,816 : 13,728 = 13,728 : x
2. Step 2: Convert to fraction form
   10,816/13,728 = 13,728/x
3. Step 3: Cross multiply
   10,816x = 13,728 × 13,728
4. Step 4: Simplify right side
   10,816x = 188,457,984
5. Step 5: Solve for x
   x = 188,457,984/10,816
6. Step 6: Final answer
   x = 17,424