Finding the Third Proportional to 5,488.38 and 12,205.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,488.38 : 12,205.05 = 12,205.05 : x
2. Step 2: Convert to fraction form
   5,488.38/12,205.05 = 12,205.05/x
3. Step 3: Cross multiply
   5,488.38x = 12,205.05 × 12,205.05
4. Step 4: Simplify right side
   5,488.38x = 148,963,359.92
5. Step 5: Solve for x
   x = 148,963,359.92/5,488.38
6. Step 6: Final answer
   x = 27,141.58