Finding the Third Proportional to 13,538 and 20,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,538 : 20,306.50 = 20,306.50 : x
2. Step 2: Convert to fraction form
   13,538/20,306.50 = 20,306.50/x
3. Step 3: Cross multiply
   13,538x = 20,306.50 × 20,306.50
4. Step 4: Simplify right side
   13,538x = 412,353,942.25
5. Step 5: Solve for x
   x = 412,353,942.25/13,538
6. Step 6: Final answer
   x = 30,459.00