Finding the Third Proportional to 1,456.31 and 2,004.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.31 : 2,004.56 = 2,004.56 : x
2. Step 2: Convert to fraction form
   1,456.31/2,004.56 = 2,004.56/x
3. Step 3: Cross multiply
   1,456.31x = 2,004.56 × 2,004.56
4. Step 4: Simplify right side
   1,456.31x = 4,018,270.82
5. Step 5: Solve for x
   x = 4,018,270.82/1,456.31
6. Step 6: Final answer
   x = 2,759.21