Finding the Third Proportional to 1,028.75 and 1,593.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.75 : 1,593.25 = 1,593.25 : x
2. Step 2: Convert to fraction form
   1,028.75/1,593.25 = 1,593.25/x
3. Step 3: Cross multiply
   1,028.75x = 1,593.25 × 1,593.25
4. Step 4: Simplify right side
   1,028.75x = 2,538,445.56
5. Step 5: Solve for x
   x = 2,538,445.56/1,028.75
6. Step 6: Final answer
   x = 2,467.50