Finding the Third Proportional to 3,702.38 and 8,155.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,702.38 : 8,155.27 = 8,155.27 : x
2. Step 2: Convert to fraction form
   3,702.38/8,155.27 = 8,155.27/x
3. Step 3: Cross multiply
   3,702.38x = 8,155.27 × 8,155.27
4. Step 4: Simplify right side
   3,702.38x = 66,508,357.41
5. Step 5: Solve for x
   x = 66,508,357.41/3,702.38
6. Step 6: Final answer
   x = 17,963.70