Finding the Third Proportional to 1,022.41 and 1,572.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.41 : 1,572.54 = 1,572.54 : x
2. Step 2: Convert to fraction form
   1,022.41/1,572.54 = 1,572.54/x
3. Step 3: Cross multiply
   1,022.41x = 1,572.54 × 1,572.54
4. Step 4: Simplify right side
   1,022.41x = 2,472,879.10
5. Step 5: Solve for x
   x = 2,472,879.10/1,022.41
6. Step 6: Final answer
   x = 2,418.67