Finding the Third Proportional to 33,088 and 72,728

Step by Step Solution

1. Step 1: Write the proportion equation
   33,088 : 72,728 = 72,728 : x
2. Step 2: Convert to fraction form
   33,088/72,728 = 72,728/x
3. Step 3: Cross multiply
   33,088x = 72,728 × 72,728
4. Step 4: Simplify right side
   33,088x = 5,289,361,984
5. Step 5: Solve for x
   x = 5,289,361,984/33,088
6. Step 6: Final answer
   x = 159,857.41