Finding the Third Proportional to 13,227 and 20,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,227 : 20,493.50 = 20,493.50 : x
2. Step 2: Convert to fraction form
   13,227/20,493.50 = 20,493.50/x
3. Step 3: Cross multiply
   13,227x = 20,493.50 × 20,493.50
4. Step 4: Simplify right side
   13,227x = 419,983,542.25
5. Step 5: Solve for x
   x = 419,983,542.25/13,227
6. Step 6: Final answer
   x = 31,751.99