Finding the Third Proportional to 10,905 and 16,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,905 : 16,782 = 16,782 : x
2. Step 2: Convert to fraction form
   10,905/16,782 = 16,782/x
3. Step 3: Cross multiply
   10,905x = 16,782 × 16,782
4. Step 4: Simplify right side
   10,905x = 281,635,524
5. Step 5: Solve for x
   x = 281,635,524/10,905
6. Step 6: Final answer
   x = 25,826.27