Finding the Third Proportional to 30,840 and 67,386

Step by Step Solution

1. Step 1: Write the proportion equation
   30,840 : 67,386 = 67,386 : x
2. Step 2: Convert to fraction form
   30,840/67,386 = 67,386/x
3. Step 3: Cross multiply
   30,840x = 67,386 × 67,386
4. Step 4: Simplify right side
   30,840x = 4,540,872,996
5. Step 5: Solve for x
   x = 4,540,872,996/30,840
6. Step 6: Final answer
   x = 147,239.72