Finding the Third Proportional to 9,768 and 21,408

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 21,408 = 21,408 : x
2. Step 2: Convert to fraction form
   9,768/21,408 = 21,408/x
3. Step 3: Cross multiply
   9,768x = 21,408 × 21,408
4. Step 4: Simplify right side
   9,768x = 458,302,464
5. Step 5: Solve for x
   x = 458,302,464/9,768
6. Step 6: Final answer
   x = 46,918.76