Finding the Third Proportional to 23,142 and 34,618

Step by Step Solution

1. Step 1: Write the proportion equation
   23,142 : 34,618 = 34,618 : x
2. Step 2: Convert to fraction form
   23,142/34,618 = 34,618/x
3. Step 3: Cross multiply
   23,142x = 34,618 × 34,618
4. Step 4: Simplify right side
   23,142x = 1,198,405,924
5. Step 5: Solve for x
   x = 1,198,405,924/23,142
6. Step 6: Final answer
   x = 51,784.89