Finding the Third Proportional to 10,288 and 13,866

Step by Step Solution

1. Step 1: Write the proportion equation
   10,288 : 13,866 = 13,866 : x
2. Step 2: Convert to fraction form
   10,288/13,866 = 13,866/x
3. Step 3: Cross multiply
   10,288x = 13,866 × 13,866
4. Step 4: Simplify right side
   10,288x = 192,265,956
5. Step 5: Solve for x
   x = 192,265,956/10,288
6. Step 6: Final answer
   x = 18,688.37