Finding the Third Proportional to 33,684 and 71,944

Step by Step Solution

1. Step 1: Write the proportion equation
   33,684 : 71,944 = 71,944 : x
2. Step 2: Convert to fraction form
   33,684/71,944 = 71,944/x
3. Step 3: Cross multiply
   33,684x = 71,944 × 71,944
4. Step 4: Simplify right side
   33,684x = 5,175,939,136
5. Step 5: Solve for x
   x = 5,175,939,136/33,684
6. Step 6: Final answer
   x = 153,661.65