Finding the Third Proportional to 30,740 and 67,268

Step by Step Solution

1. Step 1: Write the proportion equation
   30,740 : 67,268 = 67,268 : x
2. Step 2: Convert to fraction form
   30,740/67,268 = 67,268/x
3. Step 3: Cross multiply
   30,740x = 67,268 × 67,268
4. Step 4: Simplify right side
   30,740x = 4,524,983,824
5. Step 5: Solve for x
   x = 4,524,983,824/30,740
6. Step 6: Final answer
   x = 147,201.82