Finding the Third Proportional to 10,816 and 12,704

Step by Step Solution

1. Step 1: Write the proportion equation
   10,816 : 12,704 = 12,704 : x
2. Step 2: Convert to fraction form
   10,816/12,704 = 12,704/x
3. Step 3: Cross multiply
   10,816x = 12,704 × 12,704
4. Step 4: Simplify right side
   10,816x = 161,391,616
5. Step 5: Solve for x
   x = 161,391,616/10,816
6. Step 6: Final answer
   x = 14,921.56