Finding the Third Proportional to 6,781.88 and 10,499.81

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.88 : 10,499.81 = 10,499.81 : x
2. Step 2: Convert to fraction form
   6,781.88/10,499.81 = 10,499.81/x
3. Step 3: Cross multiply
   6,781.88x = 10,499.81 × 10,499.81
4. Step 4: Simplify right side
   6,781.88x = 110,246,062.54
5. Step 5: Solve for x
   x = 110,246,062.54/6,781.88
6. Step 6: Final answer
   x = 16,255.99