Finding the Third Proportional to 33,682 and 49,042

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 49,042 = 49,042 : x
2. Step 2: Convert to fraction form
   33,682/49,042 = 49,042/x
3. Step 3: Cross multiply
   33,682x = 49,042 × 49,042
4. Step 4: Simplify right side
   33,682x = 2,405,117,764
5. Step 5: Solve for x
   x = 2,405,117,764/33,682
6. Step 6: Final answer
   x = 71,406.62