Finding the Third Proportional to 9,408 and 19,764

Step by Step Solution

1. Step 1: Write the proportion equation
   9,408 : 19,764 = 19,764 : x
2. Step 2: Convert to fraction form
   9,408/19,764 = 19,764/x
3. Step 3: Cross multiply
   9,408x = 19,764 × 19,764
4. Step 4: Simplify right side
   9,408x = 390,615,696
5. Step 5: Solve for x
   x = 390,615,696/9,408
6. Step 6: Final answer
   x = 41,519.53