Finding the Third Proportional to 8,005.50 and 12,863

Step by Step Solution

1. Step 1: Write the proportion equation
   8,005.50 : 12,863 = 12,863 : x
2. Step 2: Convert to fraction form
   8,005.50/12,863 = 12,863/x
3. Step 3: Cross multiply
   8,005.50x = 12,863 × 12,863
4. Step 4: Simplify right side
   8,005.50x = 165,456,769
5. Step 5: Solve for x
   x = 165,456,769/8,005.50
6. Step 6: Final answer
   x = 20,667.89