Finding the Third Proportional to 37,774 and 82,822

Step by Step Solution

1. Step 1: Write the proportion equation
   37,774 : 82,822 = 82,822 : x
2. Step 2: Convert to fraction form
   37,774/82,822 = 82,822/x
3. Step 3: Cross multiply
   37,774x = 82,822 × 82,822
4. Step 4: Simplify right side
   37,774x = 6,859,483,684
5. Step 5: Solve for x
   x = 6,859,483,684/37,774
6. Step 6: Final answer
   x = 181,592.73