Finding the Third Proportional to 1,287.56 and 1,923.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.56 : 1,923.75 = 1,923.75 : x
2. Step 2: Convert to fraction form
   1,287.56/1,923.75 = 1,923.75/x
3. Step 3: Cross multiply
   1,287.56x = 1,923.75 × 1,923.75
4. Step 4: Simplify right side
   1,287.56x = 3,700,814.06
5. Step 5: Solve for x
   x = 3,700,814.06/1,287.56
6. Step 6: Final answer
   x = 2,874.28