Finding the Third Proportional to 2,582.82 and 3,892.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.82 : 3,892.75 = 3,892.75 : x
2. Step 2: Convert to fraction form
   2,582.82/3,892.75 = 3,892.75/x
3. Step 3: Cross multiply
   2,582.82x = 3,892.75 × 3,892.75
4. Step 4: Simplify right side
   2,582.82x = 15,153,472.15
5. Step 5: Solve for x
   x = 15,153,472.15/2,582.82
6. Step 6: Final answer
   x = 5,867.02