Finding the Third Proportional to 11,628 and 16,406

Step by Step Solution

1. Step 1: Write the proportion equation
   11,628 : 16,406 = 16,406 : x
2. Step 2: Convert to fraction form
   11,628/16,406 = 16,406/x
3. Step 3: Cross multiply
   11,628x = 16,406 × 16,406
4. Step 4: Simplify right side
   11,628x = 269,156,836
5. Step 5: Solve for x
   x = 269,156,836/11,628
6. Step 6: Final answer
   x = 23,147.30