Finding the Third Proportional to 1,025.16 and 1,550.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 1,550.55 = 1,550.55 : x
2. Step 2: Convert to fraction form
   1,025.16/1,550.55 = 1,550.55/x
3. Step 3: Cross multiply
   1,025.16x = 1,550.55 × 1,550.55
4. Step 4: Simplify right side
   1,025.16x = 2,404,201.67
5. Step 5: Solve for x
   x = 2,404,201.67/1,025.16
6. Step 6: Final answer
   x = 2,345.21