Finding the Third Proportional to 2,580.19 and 3,862.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.19 : 3,862.69 = 3,862.69 : x
2. Step 2: Convert to fraction form
   2,580.19/3,862.69 = 3,862.69/x
3. Step 3: Cross multiply
   2,580.19x = 3,862.69 × 3,862.69
4. Step 4: Simplify right side
   2,580.19x = 14,920,354.72
5. Step 5: Solve for x
   x = 14,920,354.72/2,580.19
6. Step 6: Final answer
   x = 5,782.66