Finding the Third Proportional to 10,510 and 16,405

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510 : 16,405 = 16,405 : x
2. Step 2: Convert to fraction form
   10,510/16,405 = 16,405/x
3. Step 3: Cross multiply
   10,510x = 16,405 × 16,405
4. Step 4: Simplify right side
   10,510x = 269,124,025
5. Step 5: Solve for x
   x = 269,124,025/10,510
6. Step 6: Final answer
   x = 25,606.47