Finding the Third Proportional to 3,686.44 and 8,020.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.44 : 8,020.78 = 8,020.78 : x
2. Step 2: Convert to fraction form
   3,686.44/8,020.78 = 8,020.78/x
3. Step 3: Cross multiply
   3,686.44x = 8,020.78 × 8,020.78
4. Step 4: Simplify right side
   3,686.44x = 64,332,931.86
5. Step 5: Solve for x
   x = 64,332,931.86/3,686.44
6. Step 6: Final answer
   x = 17,451.25