Finding the Third Proportional to 1,287.14 and 2,009.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,287.14 : 2,009.02 = 2,009.02 : x
2. Step 2: Convert to fraction form
   1,287.14/2,009.02 = 2,009.02/x
3. Step 3: Cross multiply
   1,287.14x = 2,009.02 × 2,009.02
4. Step 4: Simplify right side
   1,287.14x = 4,036,167.32
5. Step 5: Solve for x
   x = 4,036,167.32/1,287.14
6. Step 6: Final answer
   x = 3,135.76