Finding the Third Proportional to 3,781.31 and 8,209.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.31 : 8,209.69 = 8,209.69 : x
2. Step 2: Convert to fraction form
   3,781.31/8,209.69 = 8,209.69/x
3. Step 3: Cross multiply
   3,781.31x = 8,209.69 × 8,209.69
4. Step 4: Simplify right side
   3,781.31x = 67,398,968.85
5. Step 5: Solve for x
   x = 67,398,968.85/3,781.31
6. Step 6: Final answer
   x = 17,824.23