Finding the Third Proportional to 11,158 and 16,405

Step by Step Solution

1. Step 1: Write the proportion equation
   11,158 : 16,405 = 16,405 : x
2. Step 2: Convert to fraction form
   11,158/16,405 = 16,405/x
3. Step 3: Cross multiply
   11,158x = 16,405 × 16,405
4. Step 4: Simplify right side
   11,158x = 269,124,025
5. Step 5: Solve for x
   x = 269,124,025/11,158
6. Step 6: Final answer
   x = 24,119.38