Finding the Third Proportional to 10,920 and 16,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 16,856 = 16,856 : x
2. Step 2: Convert to fraction form
   10,920/16,856 = 16,856/x
3. Step 3: Cross multiply
   10,920x = 16,856 × 16,856
4. Step 4: Simplify right side
   10,920x = 284,124,736
5. Step 5: Solve for x
   x = 284,124,736/10,920
6. Step 6: Final answer
   x = 26,018.75