Finding the Third Proportional to 1,287.56 and 1,889.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.56 : 1,889.06 = 1,889.06 : x
2. Step 2: Convert to fraction form
   1,287.56/1,889.06 = 1,889.06/x
3. Step 3: Cross multiply
   1,287.56x = 1,889.06 × 1,889.06
4. Step 4: Simplify right side
   1,287.56x = 3,568,557.13
5. Step 5: Solve for x
   x = 3,568,557.13/1,287.56
6. Step 6: Final answer
   x = 2,771.56