Finding the Third Proportional to 2,508 and 3,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508 : 3,616.50 = 3,616.50 : x
2. Step 2: Convert to fraction form
   2,508/3,616.50 = 3,616.50/x
3. Step 3: Cross multiply
   2,508x = 3,616.50 × 3,616.50
4. Step 4: Simplify right side
   2,508x = 13,079,072.25
5. Step 5: Solve for x
   x = 13,079,072.25/2,508
6. Step 6: Final answer
   x = 5,214.94