Finding the Third Proportional to 30,895 and 67,441

Step by Step Solution

1. Step 1: Write the proportion equation
   30,895 : 67,441 = 67,441 : x
2. Step 2: Convert to fraction form
   30,895/67,441 = 67,441/x
3. Step 3: Cross multiply
   30,895x = 67,441 × 67,441
4. Step 4: Simplify right side
   30,895x = 4,548,288,481
5. Step 5: Solve for x
   x = 4,548,288,481/30,895
6. Step 6: Final answer
   x = 147,217.62