Finding the Third Proportional to 30,729 and 67,020

Step by Step Solution

1. Step 1: Write the proportion equation
   30,729 : 67,020 = 67,020 : x
2. Step 2: Convert to fraction form
   30,729/67,020 = 67,020/x
3. Step 3: Cross multiply
   30,729x = 67,020 × 67,020
4. Step 4: Simplify right side
   30,729x = 4,491,680,400
5. Step 5: Solve for x
   x = 4,491,680,400/30,729
6. Step 6: Final answer
   x = 146,170.73