Finding the Third Proportional to 3,786.75 and 8,155.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,786.75 : 8,155.69 = 8,155.69 : x
2. Step 2: Convert to fraction form
   3,786.75/8,155.69 = 8,155.69/x
3. Step 3: Cross multiply
   3,786.75x = 8,155.69 × 8,155.69
4. Step 4: Simplify right side
   3,786.75x = 66,515,238.60
5. Step 5: Solve for x
   x = 66,515,238.60/3,786.75
6. Step 6: Final answer
   x = 17,565.26