Finding the Third Proportional to 33,744 and 73,844

Step by Step Solution

1. Step 1: Write the proportion equation
   33,744 : 73,844 = 73,844 : x
2. Step 2: Convert to fraction form
   33,744/73,844 = 73,844/x
3. Step 3: Cross multiply
   33,744x = 73,844 × 73,844
4. Step 4: Simplify right side
   33,744x = 5,452,936,336
5. Step 5: Solve for x
   x = 5,452,936,336/33,744
6. Step 6: Final answer
   x = 161,597.21