Finding the Third Proportional to 5,574 and 12,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,574 : 12,205.50 = 12,205.50 : x
2. Step 2: Convert to fraction form
   5,574/12,205.50 = 12,205.50/x
3. Step 3: Cross multiply
   5,574x = 12,205.50 × 12,205.50
4. Step 4: Simplify right side
   5,574x = 148,974,230.25
5. Step 5: Solve for x
   x = 148,974,230.25/5,574
6. Step 6: Final answer
   x = 26,726.63