Finding the Third Proportional to 6,329.25 and 9,825.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,329.25 : 9,825.38 = 9,825.38 : x
2. Step 2: Convert to fraction form
   6,329.25/9,825.38 = 9,825.38/x
3. Step 3: Cross multiply
   6,329.25x = 9,825.38 × 9,825.38
4. Step 4: Simplify right side
   6,329.25x = 96,537,993.89
5. Step 5: Solve for x
   x = 96,537,993.89/6,329.25
6. Step 6: Final answer
   x = 15,252.68