Finding the Third Proportional to 41,976 and 91,584

Step by Step Solution

1. Step 1: Write the proportion equation
   41,976 : 91,584 = 91,584 : x
2. Step 2: Convert to fraction form
   41,976/91,584 = 91,584/x
3. Step 3: Cross multiply
   41,976x = 91,584 × 91,584
4. Step 4: Simplify right side
   41,976x = 8,387,629,056
5. Step 5: Solve for x
   x = 8,387,629,056/41,976
6. Step 6: Final answer
   x = 199,819.64