Finding the Third Proportional to 6,686.86 and 10,348.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,686.86 : 10,348.31 = 10,348.31 : x
2. Step 2: Convert to fraction form
   6,686.86/10,348.31 = 10,348.31/x
3. Step 3: Cross multiply
   6,686.86x = 10,348.31 × 10,348.31
4. Step 4: Simplify right side
   6,686.86x = 107,087,571.60
5. Step 5: Solve for x
   x = 107,087,571.60/6,686.86
6. Step 6: Final answer
   x = 16,014.63