Finding the Third Proportional to 30,731 and 67,204

Step by Step Solution

1. Step 1: Write the proportion equation
   30,731 : 67,204 = 67,204 : x
2. Step 2: Convert to fraction form
   30,731/67,204 = 67,204/x
3. Step 3: Cross multiply
   30,731x = 67,204 × 67,204
4. Step 4: Simplify right side
   30,731x = 4,516,377,616
5. Step 5: Solve for x
   x = 4,516,377,616/30,731
6. Step 6: Final answer
   x = 146,964.88