Finding the Third Proportional to 2,518.50 and 3,540.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,518.50 : 3,540.38 = 3,540.38 : x
2. Step 2: Convert to fraction form
   2,518.50/3,540.38 = 3,540.38/x
3. Step 3: Cross multiply
   2,518.50x = 3,540.38 × 3,540.38
4. Step 4: Simplify right side
   2,518.50x = 12,534,255.14
5. Step 5: Solve for x
   x = 12,534,255.14/2,518.50
6. Step 6: Final answer
   x = 4,976.87