Finding the Third Proportional to 37,618 and 82,616

Step by Step Solution

1. Step 1: Write the proportion equation
   37,618 : 82,616 = 82,616 : x
2. Step 2: Convert to fraction form
   37,618/82,616 = 82,616/x
3. Step 3: Cross multiply
   37,618x = 82,616 × 82,616
4. Step 4: Simplify right side
   37,618x = 6,825,403,456
5. Step 5: Solve for x
   x = 6,825,403,456/37,618
6. Step 6: Final answer
   x = 181,439.83