Finding the Third Proportional to 13,500 and 20,251.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,500 : 20,251.50 = 20,251.50 : x
2. Step 2: Convert to fraction form
   13,500/20,251.50 = 20,251.50/x
3. Step 3: Cross multiply
   13,500x = 20,251.50 × 20,251.50
4. Step 4: Simplify right side
   13,500x = 410,123,252.25
5. Step 5: Solve for x
   x = 410,123,252.25/13,500
6. Step 6: Final answer
   x = 30,379.50