Finding the Third Proportional to 1,299 and 2,016.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,299 : 2,016.75 = 2,016.75 : x
2. Step 2: Convert to fraction form
   1,299/2,016.75 = 2,016.75/x
3. Step 3: Cross multiply
   1,299x = 2,016.75 × 2,016.75
4. Step 4: Simplify right side
   1,299x = 4,067,280.56
5. Step 5: Solve for x
   x = 4,067,280.56/1,299
6. Step 6: Final answer
   x = 3,131.09