Finding the Third Proportional to 1,019.25 and 1,563.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.25 : 1,563.75 = 1,563.75 : x
2. Step 2: Convert to fraction form
   1,019.25/1,563.75 = 1,563.75/x
3. Step 3: Cross multiply
   1,019.25x = 1,563.75 × 1,563.75
4. Step 4: Simplify right side
   1,019.25x = 2,445,314.06
5. Step 5: Solve for x
   x = 2,445,314.06/1,019.25
6. Step 6: Final answer
   x = 2,399.13