Finding the Third Proportional to 41,772 and 89,616

Step by Step Solution

1. Step 1: Write the proportion equation
   41,772 : 89,616 = 89,616 : x
2. Step 2: Convert to fraction form
   41,772/89,616 = 89,616/x
3. Step 3: Cross multiply
   41,772x = 89,616 × 89,616
4. Step 4: Simplify right side
   41,772x = 8,031,027,456
5. Step 5: Solve for x
   x = 8,031,027,456/41,772
6. Step 6: Final answer
   x = 192,258.63