Finding the Third Proportional to 6,324.75 and 9,109.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,324.75 : 9,109.69 = 9,109.69 : x
2. Step 2: Convert to fraction form
   6,324.75/9,109.69 = 9,109.69/x
3. Step 3: Cross multiply
   6,324.75x = 9,109.69 × 9,109.69
4. Step 4: Simplify right side
   6,324.75x = 82,986,406.35
5. Step 5: Solve for x
   x = 82,986,406.35/6,324.75
6. Step 6: Final answer
   x = 13,120.90