Finding the Third Proportional to 2,582.75 and 4,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.75 : 4,105.25 = 4,105.25 : x
2. Step 2: Convert to fraction form
   2,582.75/4,105.25 = 4,105.25/x
3. Step 3: Cross multiply
   2,582.75x = 4,105.25 × 4,105.25
4. Step 4: Simplify right side
   2,582.75x = 16,853,077.56
5. Step 5: Solve for x
   x = 16,853,077.56/2,582.75
6. Step 6: Final answer
   x = 6,525.25