Finding the Third Proportional to 2,436 and 4,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,436 : 4,993.50 = 4,993.50 : x
2. Step 2: Convert to fraction form
   2,436/4,993.50 = 4,993.50/x
3. Step 3: Cross multiply
   2,436x = 4,993.50 × 4,993.50
4. Step 4: Simplify right side
   2,436x = 24,935,042.25
5. Step 5: Solve for x
   x = 24,935,042.25/2,436
6. Step 6: Final answer
   x = 10,236.06