Finding the Third Proportional to 41,885 and 89,563

Step by Step Solution

1. Step 1: Write the proportion equation
   41,885 : 89,563 = 89,563 : x
2. Step 2: Convert to fraction form
   41,885/89,563 = 89,563/x
3. Step 3: Cross multiply
   41,885x = 89,563 × 89,563
4. Step 4: Simplify right side
   41,885x = 8,021,530,969
5. Step 5: Solve for x
   x = 8,021,530,969/41,885
6. Step 6: Final answer
   x = 191,513.21