Finding the Third Proportional to 1,020.25 and 2,268.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.25 : 2,268.25 = 2,268.25 : x
2. Step 2: Convert to fraction form
   1,020.25/2,268.25 = 2,268.25/x
3. Step 3: Cross multiply
   1,020.25x = 2,268.25 × 2,268.25
4. Step 4: Simplify right side
   1,020.25x = 5,144,958.06
5. Step 5: Solve for x
   x = 5,144,958.06/1,020.25
6. Step 6: Final answer
   x = 5,042.84