Finding the Third Proportional to 10,761.38 and 16,780.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,761.38 : 16,780.13 = 16,780.13 : x
2. Step 2: Convert to fraction form
   10,761.38/16,780.13 = 16,780.13/x
3. Step 3: Cross multiply
   10,761.38x = 16,780.13 × 16,780.13
4. Step 4: Simplify right side
   10,761.38x = 281,572,595.02
5. Step 5: Solve for x
   x = 281,572,595.02/10,761.38
6. Step 6: Final answer
   x = 26,165.11