Finding the Third Proportional to 19,424 and 41,618

Step by Step Solution

1. Step 1: Write the proportion equation
   19,424 : 41,618 = 41,618 : x
2. Step 2: Convert to fraction form
   19,424/41,618 = 41,618/x
3. Step 3: Cross multiply
   19,424x = 41,618 × 41,618
4. Step 4: Simplify right side
   19,424x = 1,732,057,924
5. Step 5: Solve for x
   x = 1,732,057,924/19,424
6. Step 6: Final answer
   x = 89,171.02