Finding the Third Proportional to 1,036.55 and 1,582.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.55 : 1,582.03 = 1,582.03 : x
2. Step 2: Convert to fraction form
   1,036.55/1,582.03 = 1,582.03/x
3. Step 3: Cross multiply
   1,036.55x = 1,582.03 × 1,582.03
4. Step 4: Simplify right side
   1,036.55x = 2,502,822.88
5. Step 5: Solve for x
   x = 2,502,822.88/1,036.55
6. Step 6: Final answer
   x = 2,414.58