Finding the Third Proportional to 33,822 and 72,684

Step by Step Solution

1. Step 1: Write the proportion equation
   33,822 : 72,684 = 72,684 : x
2. Step 2: Convert to fraction form
   33,822/72,684 = 72,684/x
3. Step 3: Cross multiply
   33,822x = 72,684 × 72,684
4. Step 4: Simplify right side
   33,822x = 5,282,963,856
5. Step 5: Solve for x
   x = 5,282,963,856/33,822
6. Step 6: Final answer
   x = 156,199.04