Finding the Third Proportional to 6,424.31 and 9,609.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424.31 : 9,609.89 = 9,609.89 : x
2. Step 2: Convert to fraction form
   6,424.31/9,609.89 = 9,609.89/x
3. Step 3: Cross multiply
   6,424.31x = 9,609.89 × 9,609.89
4. Step 4: Simplify right side
   6,424.31x = 92,349,997.82
5. Step 5: Solve for x
   x = 92,349,997.82/6,424.31
6. Step 6: Final answer
   x = 14,375.08