Finding the Third Proportional to 33,864 and 72,624

Step by Step Solution

1. Step 1: Write the proportion equation
   33,864 : 72,624 = 72,624 : x
2. Step 2: Convert to fraction form
   33,864/72,624 = 72,624/x
3. Step 3: Cross multiply
   33,864x = 72,624 × 72,624
4. Step 4: Simplify right side
   33,864x = 5,274,245,376
5. Step 5: Solve for x
   x = 5,274,245,376/33,864
6. Step 6: Final answer
   x = 155,747.86