Finding the Third Proportional to 10,384 and 18,096

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 18,096 = 18,096 : x
2. Step 2: Convert to fraction form
   10,384/18,096 = 18,096/x
3. Step 3: Cross multiply
   10,384x = 18,096 × 18,096
4. Step 4: Simplify right side
   10,384x = 327,465,216
5. Step 5: Solve for x
   x = 327,465,216/10,384
6. Step 6: Final answer
   x = 31,535.56