Finding the Third Proportional to 1,016.75 and 1,518.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.75 : 1,518.38 = 1,518.38 : x
2. Step 2: Convert to fraction form
   1,016.75/1,518.38 = 1,518.38/x
3. Step 3: Cross multiply
   1,016.75x = 1,518.38 × 1,518.38
4. Step 4: Simplify right side
   1,016.75x = 2,305,462.64
5. Step 5: Solve for x
   x = 2,305,462.64/1,016.75
6. Step 6: Final answer
   x = 2,267.48