Finding the Third Proportional to 10,402 and 16,105

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402 : 16,105 = 16,105 : x
2. Step 2: Convert to fraction form
   10,402/16,105 = 16,105/x
3. Step 3: Cross multiply
   10,402x = 16,105 × 16,105
4. Step 4: Simplify right side
   10,402x = 259,371,025
5. Step 5: Solve for x
   x = 259,371,025/10,402
6. Step 6: Final answer
   x = 24,934.73