Finding the Third Proportional to 2,206.69 and 5,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,206.69 : 5,205.38 = 5,205.38 : x
2. Step 2: Convert to fraction form
   2,206.69/5,205.38 = 5,205.38/x
3. Step 3: Cross multiply
   2,206.69x = 5,205.38 × 5,205.38
4. Step 4: Simplify right side
   2,206.69x = 27,095,928.89
5. Step 5: Solve for x
   x = 27,095,928.89/2,206.69
6. Step 6: Final answer
   x = 12,279.01