Finding the Third Proportional to 37,822 and 82,802

Step by Step Solution

1. Step 1: Write the proportion equation
   37,822 : 82,802 = 82,802 : x
2. Step 2: Convert to fraction form
   37,822/82,802 = 82,802/x
3. Step 3: Cross multiply
   37,822x = 82,802 × 82,802
4. Step 4: Simplify right side
   37,822x = 6,856,171,204
5. Step 5: Solve for x
   x = 6,856,171,204/37,822
6. Step 6: Final answer
   x = 181,274.69