Finding the Third Proportional to 1,020.75 and 1,553.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.75 : 1,553.25 = 1,553.25 : x
2. Step 2: Convert to fraction form
   1,020.75/1,553.25 = 1,553.25/x
3. Step 3: Cross multiply
   1,020.75x = 1,553.25 × 1,553.25
4. Step 4: Simplify right side
   1,020.75x = 2,412,585.56
5. Step 5: Solve for x
   x = 2,412,585.56/1,020.75
6. Step 6: Final answer
   x = 2,363.54