Finding the Third Proportional to 3,747.94 and 8,107.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.94 : 8,107.31 = 8,107.31 : x
2. Step 2: Convert to fraction form
   3,747.94/8,107.31 = 8,107.31/x
3. Step 3: Cross multiply
   3,747.94x = 8,107.31 × 8,107.31
4. Step 4: Simplify right side
   3,747.94x = 65,728,515.97
5. Step 5: Solve for x
   x = 65,728,515.97/3,747.94
6. Step 6: Final answer
   x = 17,537.25