Finding the Third Proportional to 2,565.21 and 3,866.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.21 : 3,866.27 = 3,866.27 : x
2. Step 2: Convert to fraction form
   2,565.21/3,866.27 = 3,866.27/x
3. Step 3: Cross multiply
   2,565.21x = 3,866.27 × 3,866.27
4. Step 4: Simplify right side
   2,565.21x = 14,948,070.29
5. Step 5: Solve for x
   x = 14,948,070.29/2,565.21
6. Step 6: Final answer
   x = 5,827.23