Finding the Third Proportional to 33,878 and 49,587

Step by Step Solution

1. Step 1: Write the proportion equation
   33,878 : 49,587 = 49,587 : x
2. Step 2: Convert to fraction form
   33,878/49,587 = 49,587/x
3. Step 3: Cross multiply
   33,878x = 49,587 × 49,587
4. Step 4: Simplify right side
   33,878x = 2,458,870,569
5. Step 5: Solve for x
   x = 2,458,870,569/33,878
6. Step 6: Final answer
   x = 72,580.16