Finding the Third Proportional to 1,287.25 and 1,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.25 : 1,849.75 = 1,849.75 : x
2. Step 2: Convert to fraction form
   1,287.25/1,849.75 = 1,849.75/x
3. Step 3: Cross multiply
   1,287.25x = 1,849.75 × 1,849.75
4. Step 4: Simplify right side
   1,287.25x = 3,421,575.06
5. Step 5: Solve for x
   x = 3,421,575.06/1,287.25
6. Step 6: Final answer
   x = 2,658.05