Finding the Third Proportional to 3,854.67 and 8,256.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.67 : 8,256.09 = 8,256.09 : x
2. Step 2: Convert to fraction form
   3,854.67/8,256.09 = 8,256.09/x
3. Step 3: Cross multiply
   3,854.67x = 8,256.09 × 8,256.09
4. Step 4: Simplify right side
   3,854.67x = 68,163,084.01
5. Step 5: Solve for x
   x = 68,163,084.01/3,854.67
6. Step 6: Final answer
   x = 17,683.24