Finding the Third Proportional to 30,866 and 67,540

Step by Step Solution

1. Step 1: Write the proportion equation
   30,866 : 67,540 = 67,540 : x
2. Step 2: Convert to fraction form
   30,866/67,540 = 67,540/x
3. Step 3: Cross multiply
   30,866x = 67,540 × 67,540
4. Step 4: Simplify right side
   30,866x = 4,561,651,600
5. Step 5: Solve for x
   x = 4,561,651,600/30,866
6. Step 6: Final answer
   x = 147,788.88