Finding the Third Proportional to 30,900 and 67,384

Step by Step Solution

1. Step 1: Write the proportion equation
   30,900 : 67,384 = 67,384 : x
2. Step 2: Convert to fraction form
   30,900/67,384 = 67,384/x
3. Step 3: Cross multiply
   30,900x = 67,384 × 67,384
4. Step 4: Simplify right side
   30,900x = 4,540,603,456
5. Step 5: Solve for x
   x = 4,540,603,456/30,900
6. Step 6: Final answer
   x = 146,945.10