Finding the Third Proportional to 6,019.31 and 9,208.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,019.31 : 9,208.69 = 9,208.69 : x
2. Step 2: Convert to fraction form
   6,019.31/9,208.69 = 9,208.69/x
3. Step 3: Cross multiply
   6,019.31x = 9,208.69 × 9,208.69
4. Step 4: Simplify right side
   6,019.31x = 84,799,925.47
5. Step 5: Solve for x
   x = 84,799,925.47/6,019.31
6. Step 6: Final answer
   x = 14,087.98