Finding the Third Proportional to 30,342 and 62,142

Step by Step Solution

1. Step 1: Write the proportion equation
   30,342 : 62,142 = 62,142 : x
2. Step 2: Convert to fraction form
   30,342/62,142 = 62,142/x
3. Step 3: Cross multiply
   30,342x = 62,142 × 62,142
4. Step 4: Simplify right side
   30,342x = 3,861,628,164
5. Step 5: Solve for x
   x = 3,861,628,164/30,342
6. Step 6: Final answer
   x = 127,270.06