Finding the Third Proportional to 500 and 1,024.75

Step by Step Solution

1. Step 1: Write the proportion equation
   500 : 1,024.75 = 1,024.75 : x
2. Step 2: Convert to fraction form
   500/1,024.75 = 1,024.75/x
3. Step 3: Cross multiply
   500x = 1,024.75 × 1,024.75
4. Step 4: Simplify right side
   500x = 1,050,112.56
5. Step 5: Solve for x
   x = 1,050,112.56/500
6. Step 6: Final answer
   x = 2,100.23