Finding the Third Proportional to 13,665 and 20,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,665 : 20,863.50 = 20,863.50 : x
2. Step 2: Convert to fraction form
   13,665/20,863.50 = 20,863.50/x
3. Step 3: Cross multiply
   13,665x = 20,863.50 × 20,863.50
4. Step 4: Simplify right side
   13,665x = 435,285,632.25
5. Step 5: Solve for x
   x = 435,285,632.25/13,665
6. Step 6: Final answer
   x = 31,854.05