Finding the Third Proportional to 30,771 and 67,077

Step by Step Solution

1. Step 1: Write the proportion equation
   30,771 : 67,077 = 67,077 : x
2. Step 2: Convert to fraction form
   30,771/67,077 = 67,077/x
3. Step 3: Cross multiply
   30,771x = 67,077 × 67,077
4. Step 4: Simplify right side
   30,771x = 4,499,323,929
5. Step 5: Solve for x
   x = 4,499,323,929/30,771
6. Step 6: Final answer
   x = 146,219.62