Finding the Third Proportional to 3,725.37 and 8,142.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,725.37 : 8,142.71 = 8,142.71 : x
2. Step 2: Convert to fraction form
   3,725.37/8,142.71 = 8,142.71/x
3. Step 3: Cross multiply
   3,725.37x = 8,142.71 × 8,142.71
4. Step 4: Simplify right side
   3,725.37x = 66,303,805.03
5. Step 5: Solve for x
   x = 66,303,805.03/3,725.37
6. Step 6: Final answer
   x = 17,797.92