Finding the Third Proportional to 11,684 and 16,406

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 16,406 = 16,406 : x
2. Step 2: Convert to fraction form
   11,684/16,406 = 16,406/x
3. Step 3: Cross multiply
   11,684x = 16,406 × 16,406
4. Step 4: Simplify right side
   11,684x = 269,156,836
5. Step 5: Solve for x
   x = 269,156,836/11,684
6. Step 6: Final answer
   x = 23,036.36