Finding the Third Proportional to 1,289.04 and 2,002.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,289.04 : 2,002.54 = 2,002.54 : x
2. Step 2: Convert to fraction form
   1,289.04/2,002.54 = 2,002.54/x
3. Step 3: Cross multiply
   1,289.04x = 2,002.54 × 2,002.54
4. Step 4: Simplify right side
   1,289.04x = 4,010,147.05
5. Step 5: Solve for x
   x = 4,010,147.05/1,289.04
6. Step 6: Final answer
   x = 3,110.96