Finding the Third Proportional to 33,728 and 71,008

Step by Step Solution

1. Step 1: Write the proportion equation
   33,728 : 71,008 = 71,008 : x
2. Step 2: Convert to fraction form
   33,728/71,008 = 71,008/x
3. Step 3: Cross multiply
   33,728x = 71,008 × 71,008
4. Step 4: Simplify right side
   33,728x = 5,042,136,064
5. Step 5: Solve for x
   x = 5,042,136,064/33,728
6. Step 6: Final answer
   x = 149,494.07