Finding the Third Proportional to 1,003.25 and 1,544.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.25 : 1,544.25 = 1,544.25 : x
2. Step 2: Convert to fraction form
   1,003.25/1,544.25 = 1,544.25/x
3. Step 3: Cross multiply
   1,003.25x = 1,544.25 × 1,544.25
4. Step 4: Simplify right side
   1,003.25x = 2,384,708.06
5. Step 5: Solve for x
   x = 2,384,708.06/1,003.25
6. Step 6: Final answer
   x = 2,376.98