Finding the Third Proportional to 2,576.06 and 3,862.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.06 : 3,862.31 = 3,862.31 : x
2. Step 2: Convert to fraction form
   2,576.06/3,862.31 = 3,862.31/x
3. Step 3: Cross multiply
   2,576.06x = 3,862.31 × 3,862.31
4. Step 4: Simplify right side
   2,576.06x = 14,917,457.85
5. Step 5: Solve for x
   x = 14,917,457.85/2,576.06
6. Step 6: Final answer
   x = 5,790.80