Finding the Third Proportional to 1,025.16 and 2,209.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.16 : 2,209.78 = 2,209.78 : x
2. Step 2: Convert to fraction form
   1,025.16/2,209.78 = 2,209.78/x
3. Step 3: Cross multiply
   1,025.16x = 2,209.78 × 2,209.78
4. Step 4: Simplify right side
   1,025.16x = 4,883,133.17
5. Step 5: Solve for x
   x = 4,883,133.17/1,025.16
6. Step 6: Final answer
   x = 4,763.31