Finding the Third Proportional to 6,686.61 and 10,348.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,686.61 : 10,348.38 = 10,348.38 : x
2. Step 2: Convert to fraction form
   6,686.61/10,348.38 = 10,348.38/x
3. Step 3: Cross multiply
   6,686.61x = 10,348.38 × 10,348.38
4. Step 4: Simplify right side
   6,686.61x = 107,089,026.83
5. Step 5: Solve for x
   x = 107,089,026.83/6,686.61
6. Step 6: Final answer
   x = 16,015.44