Finding the Third Proportional to 10,920 and 16,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 16,896 = 16,896 : x
2. Step 2: Convert to fraction form
   10,920/16,896 = 16,896/x
3. Step 3: Cross multiply
   10,920x = 16,896 × 16,896
4. Step 4: Simplify right side
   10,920x = 285,474,816
5. Step 5: Solve for x
   x = 285,474,816/10,920
6. Step 6: Final answer
   x = 26,142.38