Finding the Third Proportional to 11,864 and 18,096

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864 : 18,096 = 18,096 : x
2. Step 2: Convert to fraction form
   11,864/18,096 = 18,096/x
3. Step 3: Cross multiply
   11,864x = 18,096 × 18,096
4. Step 4: Simplify right side
   11,864x = 327,465,216
5. Step 5: Solve for x
   x = 327,465,216/11,864
6. Step 6: Final answer
   x = 27,601.59