Finding the Third Proportional to 10,216.50 and 13,866

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.50 : 13,866 = 13,866 : x
2. Step 2: Convert to fraction form
   10,216.50/13,866 = 13,866/x
3. Step 3: Cross multiply
   10,216.50x = 13,866 × 13,866
4. Step 4: Simplify right side
   10,216.50x = 192,265,956
5. Step 5: Solve for x
   x = 192,265,956/10,216.50
6. Step 6: Final answer
   x = 18,819.16