Finding the Third Proportional to 10,357 and 16,145

Step by Step Solution

1. Step 1: Write the proportion equation
   10,357 : 16,145 = 16,145 : x
2. Step 2: Convert to fraction form
   10,357/16,145 = 16,145/x
3. Step 3: Cross multiply
   10,357x = 16,145 × 16,145
4. Step 4: Simplify right side
   10,357x = 260,661,025
5. Step 5: Solve for x
   x = 260,661,025/10,357
6. Step 6: Final answer
   x = 25,167.62