Finding the Third Proportional to 2,582.82 and 3,874.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.82 : 3,874.24 = 3,874.24 : x
2. Step 2: Convert to fraction form
   2,582.82/3,874.24 = 3,874.24/x
3. Step 3: Cross multiply
   2,582.82x = 3,874.24 × 3,874.24
4. Step 4: Simplify right side
   2,582.82x = 15,009,707.13
5. Step 5: Solve for x
   x = 15,009,707.13/2,582.82
6. Step 6: Final answer
   x = 5,811.35