Finding the Third Proportional to 1,028.81 and 1,582.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.81 : 1,582.88 = 1,582.88 : x
2. Step 2: Convert to fraction form
   1,028.81/1,582.88 = 1,582.88/x
3. Step 3: Cross multiply
   1,028.81x = 1,582.88 × 1,582.88
4. Step 4: Simplify right side
   1,028.81x = 2,505,493.27
5. Step 5: Solve for x
   x = 2,505,493.27/1,028.81
6. Step 6: Final answer
   x = 2,435.33