Finding the Third Proportional to 3,139.31 and 6,825.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,139.31 : 6,825.38 = 6,825.38 : x
2. Step 2: Convert to fraction form
   3,139.31/6,825.38 = 6,825.38/x
3. Step 3: Cross multiply
   3,139.31x = 6,825.38 × 6,825.38
4. Step 4: Simplify right side
   3,139.31x = 46,585,743.89
5. Step 5: Solve for x
   x = 46,585,743.89/3,139.31
6. Step 6: Final answer
   x = 14,839.47