Finding the Third Proportional to 3,747.94 and 8,157.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.94 : 8,157.38 = 8,157.38 : x
2. Step 2: Convert to fraction form
   3,747.94/8,157.38 = 8,157.38/x
3. Step 3: Cross multiply
   3,747.94x = 8,157.38 × 8,157.38
4. Step 4: Simplify right side
   3,747.94x = 66,542,766.89
5. Step 5: Solve for x
   x = 66,542,766.89/3,747.94
6. Step 6: Final answer
   x = 17,754.50