Finding the Third Proportional to 7,644 and 13,404

Step by Step Solution

1. Step 1: Write the proportion equation
   7,644 : 13,404 = 13,404 : x
2. Step 2: Convert to fraction form
   7,644/13,404 = 13,404/x
3. Step 3: Cross multiply
   7,644x = 13,404 × 13,404
4. Step 4: Simplify right side
   7,644x = 179,667,216
5. Step 5: Solve for x
   x = 179,667,216/7,644
6. Step 6: Final answer
   x = 23,504.35