Finding the Third Proportional to 2,582.25 and 3,762.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.25 : 3,762.75 = 3,762.75 : x
2. Step 2: Convert to fraction form
   2,582.25/3,762.75 = 3,762.75/x
3. Step 3: Cross multiply
   2,582.25x = 3,762.75 × 3,762.75
4. Step 4: Simplify right side
   2,582.25x = 14,158,287.56
5. Step 5: Solve for x
   x = 14,158,287.56/2,582.25
6. Step 6: Final answer
   x = 5,482.93