Finding the Third Proportional to 10,464 and 21,408

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 21,408 = 21,408 : x
2. Step 2: Convert to fraction form
   10,464/21,408 = 21,408/x
3. Step 3: Cross multiply
   10,464x = 21,408 × 21,408
4. Step 4: Simplify right side
   10,464x = 458,302,464
5. Step 5: Solve for x
   x = 458,302,464/10,464
6. Step 6: Final answer
   x = 43,798.02