Finding the Third Proportional to 33,656 and 71,728

Step by Step Solution

1. Step 1: Write the proportion equation
   33,656 : 71,728 = 71,728 : x
2. Step 2: Convert to fraction form
   33,656/71,728 = 71,728/x
3. Step 3: Cross multiply
   33,656x = 71,728 × 71,728
4. Step 4: Simplify right side
   33,656x = 5,144,905,984
5. Step 5: Solve for x
   x = 5,144,905,984/33,656
6. Step 6: Final answer
   x = 152,867.42