Finding the Third Proportional to 33,974 and 72,598

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974 : 72,598 = 72,598 : x
2. Step 2: Convert to fraction form
   33,974/72,598 = 72,598/x
3. Step 3: Cross multiply
   33,974x = 72,598 × 72,598
4. Step 4: Simplify right side
   33,974x = 5,270,469,604
5. Step 5: Solve for x
   x = 5,270,469,604/33,974
6. Step 6: Final answer
   x = 155,132.44