Finding the Third Proportional to 11,832 and 16,404

Step by Step Solution

1. Step 1: Write the proportion equation
   11,832 : 16,404 = 16,404 : x
2. Step 2: Convert to fraction form
   11,832/16,404 = 16,404/x
3. Step 3: Cross multiply
   11,832x = 16,404 × 16,404
4. Step 4: Simplify right side
   11,832x = 269,091,216
5. Step 5: Solve for x
   x = 269,091,216/11,832
6. Step 6: Final answer
   x = 22,742.67