Finding the Third Proportional to 41,634 and 54,661.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 54,661.50 = 54,661.50 : x
2. Step 2: Convert to fraction form
   41,634/54,661.50 = 54,661.50/x
3. Step 3: Cross multiply
   41,634x = 54,661.50 × 54,661.50
4. Step 4: Simplify right side
   41,634x = 2,987,879,582.25
5. Step 5: Solve for x
   x = 2,987,879,582.25/41,634
6. Step 6: Final answer
   x = 71,765.37