Finding the Third Proportional to 2,561.19 and 3,865.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.19 : 3,865.31 = 3,865.31 : x
2. Step 2: Convert to fraction form
   2,561.19/3,865.31 = 3,865.31/x
3. Step 3: Cross multiply
   2,561.19x = 3,865.31 × 3,865.31
4. Step 4: Simplify right side
   2,561.19x = 14,940,640.72
5. Step 5: Solve for x
   x = 14,940,640.72/2,561.19
6. Step 6: Final answer
   x = 5,833.48