Finding the Third Proportional to 10,165 and 16,233

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165 : 16,233 = 16,233 : x
2. Step 2: Convert to fraction form
   10,165/16,233 = 16,233/x
3. Step 3: Cross multiply
   10,165x = 16,233 × 16,233
4. Step 4: Simplify right side
   10,165x = 263,510,289
5. Step 5: Solve for x
   x = 263,510,289/10,165
6. Step 6: Final answer
   x = 25,923.29