Finding the Third Proportional to 2,549 and 3,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549 : 3,639.50 = 3,639.50 : x
2. Step 2: Convert to fraction form
   2,549/3,639.50 = 3,639.50/x
3. Step 3: Cross multiply
   2,549x = 3,639.50 × 3,639.50
4. Step 4: Simplify right side
   2,549x = 13,245,960.25
5. Step 5: Solve for x
   x = 13,245,960.25/2,549
6. Step 6: Final answer
   x = 5,196.53