Finding the Third Proportional to 2,206.50 and 4,815.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206.50 : 4,815.38 = 4,815.38 : x
2. Step 2: Convert to fraction form
   2,206.50/4,815.38 = 4,815.38/x
3. Step 3: Cross multiply
   2,206.50x = 4,815.38 × 4,815.38
4. Step 4: Simplify right side
   2,206.50x = 23,187,836.39
5. Step 5: Solve for x
   x = 23,187,836.39/2,206.50
6. Step 6: Final answer
   x = 10,508.88