Finding the Third Proportional to 33,822 and 73,476

Step by Step Solution

1. Step 1: Write the proportion equation
   33,822 : 73,476 = 73,476 : x
2. Step 2: Convert to fraction form
   33,822/73,476 = 73,476/x
3. Step 3: Cross multiply
   33,822x = 73,476 × 73,476
4. Step 4: Simplify right side
   33,822x = 5,398,722,576
5. Step 5: Solve for x
   x = 5,398,722,576/33,822
6. Step 6: Final answer
   x = 159,621.62