Finding the Third Proportional to 13,734 and 30,142

Step by Step Solution

1. Step 1: Write the proportion equation
   13,734 : 30,142 = 30,142 : x
2. Step 2: Convert to fraction form
   13,734/30,142 = 30,142/x
3. Step 3: Cross multiply
   13,734x = 30,142 × 30,142
4. Step 4: Simplify right side
   13,734x = 908,540,164
5. Step 5: Solve for x
   x = 908,540,164/13,734
6. Step 6: Final answer
   x = 66,152.63