Finding the Third Proportional to 2,827.41 and 6,218.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,827.41 : 6,218.72 = 6,218.72 : x
2. Step 2: Convert to fraction form
   2,827.41/6,218.72 = 6,218.72/x
3. Step 3: Cross multiply
   2,827.41x = 6,218.72 × 6,218.72
4. Step 4: Simplify right side
   2,827.41x = 38,672,462.89
5. Step 5: Solve for x
   x = 38,672,462.89/2,827.41
6. Step 6: Final answer
   x = 13,677.72