Finding the Third Proportional to 10,366 and 16,096

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 16,096 = 16,096 : x
2. Step 2: Convert to fraction form
   10,366/16,096 = 16,096/x
3. Step 3: Cross multiply
   10,366x = 16,096 × 16,096
4. Step 4: Simplify right side
   10,366x = 259,081,216
5. Step 5: Solve for x
   x = 259,081,216/10,366
6. Step 6: Final answer
   x = 24,993.36