Finding the Third Proportional to 37,759 and 82,618

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759 : 82,618 = 82,618 : x
2. Step 2: Convert to fraction form
   37,759/82,618 = 82,618/x
3. Step 3: Cross multiply
   37,759x = 82,618 × 82,618
4. Step 4: Simplify right side
   37,759x = 6,825,733,924
5. Step 5: Solve for x
   x = 6,825,733,924/37,759
6. Step 6: Final answer
   x = 180,771.05