Finding the Third Proportional to 1,004.31 and 1,544.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.31 : 1,544.69 = 1,544.69 : x
2. Step 2: Convert to fraction form
   1,004.31/1,544.69 = 1,544.69/x
3. Step 3: Cross multiply
   1,004.31x = 1,544.69 × 1,544.69
4. Step 4: Simplify right side
   1,004.31x = 2,386,059.47
5. Step 5: Solve for x
   x = 2,386,059.47/1,004.31
6. Step 6: Final answer
   x = 2,375.81