Finding the Third Proportional to 33,894 and 73,822

Step by Step Solution

1. Step 1: Write the proportion equation
   33,894 : 73,822 = 73,822 : x
2. Step 2: Convert to fraction form
   33,894/73,822 = 73,822/x
3. Step 3: Cross multiply
   33,894x = 73,822 × 73,822
4. Step 4: Simplify right side
   33,894x = 5,449,687,684
5. Step 5: Solve for x
   x = 5,449,687,684/33,894
6. Step 6: Final answer
   x = 160,786.21