Finding the Third Proportional to 12,202.50 and 18,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,202.50 : 18,222.75 = 18,222.75 : x
2. Step 2: Convert to fraction form
   12,202.50/18,222.75 = 18,222.75/x
3. Step 3: Cross multiply
   12,202.50x = 18,222.75 × 18,222.75
4. Step 4: Simplify right side
   12,202.50x = 332,068,617.56
5. Step 5: Solve for x
   x = 332,068,617.56/12,202.50
6. Step 6: Final answer
   x = 27,213.16