Finding the Third Proportional to 33,977 and 72,081

Step by Step Solution

1. Step 1: Write the proportion equation
   33,977 : 72,081 = 72,081 : x
2. Step 2: Convert to fraction form
   33,977/72,081 = 72,081/x
3. Step 3: Cross multiply
   33,977x = 72,081 × 72,081
4. Step 4: Simplify right side
   33,977x = 5,195,670,561
5. Step 5: Solve for x
   x = 5,195,670,561/33,977
6. Step 6: Final answer
   x = 152,917.28