Finding the Third Proportional to 1,456.50 and 2,040

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.50 : 2,040 = 2,040 : x
2. Step 2: Convert to fraction form
   1,456.50/2,040 = 2,040/x
3. Step 3: Cross multiply
   1,456.50x = 2,040 × 2,040
4. Step 4: Simplify right side
   1,456.50x = 4,161,600
5. Step 5: Solve for x
   x = 4,161,600/1,456.50
6. Step 6: Final answer
   x = 2,857.26