Finding the Third Proportional to 33,820 and 72,330

Step by Step Solution

1. Step 1: Write the proportion equation
   33,820 : 72,330 = 72,330 : x
2. Step 2: Convert to fraction form
   33,820/72,330 = 72,330/x
3. Step 3: Cross multiply
   33,820x = 72,330 × 72,330
4. Step 4: Simplify right side
   33,820x = 5,231,628,900
5. Step 5: Solve for x
   x = 5,231,628,900/33,820
6. Step 6: Final answer
   x = 154,690.39