Finding the Third Proportional to 6,864 and 12,304

Step by Step Solution

1. Step 1: Write the proportion equation
   6,864 : 12,304 = 12,304 : x
2. Step 2: Convert to fraction form
   6,864/12,304 = 12,304/x
3. Step 3: Cross multiply
   6,864x = 12,304 × 12,304
4. Step 4: Simplify right side
   6,864x = 151,388,416
5. Step 5: Solve for x
   x = 151,388,416/6,864
6. Step 6: Final answer
   x = 22,055.42