Finding the Third Proportional to 10,096 and 12,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 12,896 = 12,896 : x
2. Step 2: Convert to fraction form
   10,096/12,896 = 12,896/x
3. Step 3: Cross multiply
   10,096x = 12,896 × 12,896
4. Step 4: Simplify right side
   10,096x = 166,306,816
5. Step 5: Solve for x
   x = 166,306,816/10,096
6. Step 6: Final answer
   x = 16,472.55