Finding the Third Proportional to 2,016 and 2,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016 : 2,718.50 = 2,718.50 : x
2. Step 2: Convert to fraction form
   2,016/2,718.50 = 2,718.50/x
3. Step 3: Cross multiply
   2,016x = 2,718.50 × 2,718.50
4. Step 4: Simplify right side
   2,016x = 7,390,242.25
5. Step 5: Solve for x
   x = 7,390,242.25/2,016
6. Step 6: Final answer
   x = 3,665.79