Finding the Third Proportional to 2,854.42 and 6,227.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.42 : 6,227.82 = 6,227.82 : x
2. Step 2: Convert to fraction form
   2,854.42/6,227.82 = 6,227.82/x
3. Step 3: Cross multiply
   2,854.42x = 6,227.82 × 6,227.82
4. Step 4: Simplify right side
   2,854.42x = 38,785,794.50
5. Step 5: Solve for x
   x = 38,785,794.50/2,854.42
6. Step 6: Final answer
   x = 13,587.98