Finding the Third Proportional to 13,866 and 20,815.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,866 : 20,815.50 = 20,815.50 : x
2. Step 2: Convert to fraction form
   13,866/20,815.50 = 20,815.50/x
3. Step 3: Cross multiply
   13,866x = 20,815.50 × 20,815.50
4. Step 4: Simplify right side
   13,866x = 433,285,040.25
5. Step 5: Solve for x
   x = 433,285,040.25/13,866
6. Step 6: Final answer
   x = 31,248.02