Finding the Third Proportional to 41,824 and 89,408

Step by Step Solution

1. Step 1: Write the proportion equation
   41,824 : 89,408 = 89,408 : x
2. Step 2: Convert to fraction form
   41,824/89,408 = 89,408/x
3. Step 3: Cross multiply
   41,824x = 89,408 × 89,408
4. Step 4: Simplify right side
   41,824x = 7,993,790,464
5. Step 5: Solve for x
   x = 7,993,790,464/41,824
6. Step 6: Final answer
   x = 191,129.27