Finding the Third Proportional to 2,424 and 5,304

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424 : 5,304 = 5,304 : x
2. Step 2: Convert to fraction form
   2,424/5,304 = 5,304/x
3. Step 3: Cross multiply
   2,424x = 5,304 × 5,304
4. Step 4: Simplify right side
   2,424x = 28,132,416
5. Step 5: Solve for x
   x = 28,132,416/2,424
6. Step 6: Final answer
   x = 11,605.78