Finding the Third Proportional to 1,288.50 and 1,872.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,288.50 : 1,872.75 = 1,872.75 : x
2. Step 2: Convert to fraction form
   1,288.50/1,872.75 = 1,872.75/x
3. Step 3: Cross multiply
   1,288.50x = 1,872.75 × 1,872.75
4. Step 4: Simplify right side
   1,288.50x = 3,507,192.56
5. Step 5: Solve for x
   x = 3,507,192.56/1,288.50
6. Step 6: Final answer
   x = 2,721.92