Finding the Third Proportional to 8,164 and 13,404

Step by Step Solution

1. Step 1: Write the proportion equation
   8,164 : 13,404 = 13,404 : x
2. Step 2: Convert to fraction form
   8,164/13,404 = 13,404/x
3. Step 3: Cross multiply
   8,164x = 13,404 × 13,404
4. Step 4: Simplify right side
   8,164x = 179,667,216
5. Step 5: Solve for x
   x = 179,667,216/8,164
6. Step 6: Final answer
   x = 22,007.25