Finding the Third Proportional to 3,854.81 and 8,256.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,854.81 : 8,256.94 = 8,256.94 : x
2. Step 2: Convert to fraction form
   3,854.81/8,256.94 = 8,256.94/x
3. Step 3: Cross multiply
   3,854.81x = 8,256.94 × 8,256.94
4. Step 4: Simplify right side
   3,854.81x = 68,177,016.88
5. Step 5: Solve for x
   x = 68,177,016.88/3,854.81
6. Step 6: Final answer
   x = 17,686.21