Finding the Third Proportional to 27,727 and 42,618

Step by Step Solution

1. Step 1: Write the proportion equation
   27,727 : 42,618 = 42,618 : x
2. Step 2: Convert to fraction form
   27,727/42,618 = 42,618/x
3. Step 3: Cross multiply
   27,727x = 42,618 × 42,618
4. Step 4: Simplify right side
   27,727x = 1,816,293,924
5. Step 5: Solve for x
   x = 1,816,293,924/27,727
6. Step 6: Final answer
   x = 65,506.33