Finding the Third Proportional to 27,618 and 59,142

Step by Step Solution

1. Step 1: Write the proportion equation
   27,618 : 59,142 = 59,142 : x
2. Step 2: Convert to fraction form
   27,618/59,142 = 59,142/x
3. Step 3: Cross multiply
   27,618x = 59,142 × 59,142
4. Step 4: Simplify right side
   27,618x = 3,497,776,164
5. Step 5: Solve for x
   x = 3,497,776,164/27,618
6. Step 6: Final answer
   x = 126,648.42