Finding the Third Proportional to 3,781.69 and 5,686.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.69 : 5,686.31 = 5,686.31 : x
2. Step 2: Convert to fraction form
   3,781.69/5,686.31 = 5,686.31/x
3. Step 3: Cross multiply
   3,781.69x = 5,686.31 × 5,686.31
4. Step 4: Simplify right side
   3,781.69x = 32,334,149.85
5. Step 5: Solve for x
   x = 32,334,149.85/3,781.69
6. Step 6: Final answer
   x = 8,550.19