Finding the Third Proportional to 490 and 1,020.25

Step by Step Solution

1. Step 1: Write the proportion equation
   490 : 1,020.25 = 1,020.25 : x
2. Step 2: Convert to fraction form
   490/1,020.25 = 1,020.25/x
3. Step 3: Cross multiply
   490x = 1,020.25 × 1,020.25
4. Step 4: Simplify right side
   490x = 1,040,910.06
5. Step 5: Solve for x
   x = 1,040,910.06/490
6. Step 6: Final answer
   x = 2,124.31