Finding the Third Proportional to 33,816 and 49,766

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 49,766 = 49,766 : x
2. Step 2: Convert to fraction form
   33,816/49,766 = 49,766/x
3. Step 3: Cross multiply
   33,816x = 49,766 × 49,766
4. Step 4: Simplify right side
   33,816x = 2,476,654,756
5. Step 5: Solve for x
   x = 2,476,654,756/33,816
6. Step 6: Final answer
   x = 73,239.14