Finding the Third Proportional to 30,976 and 67,648

Step by Step Solution

1. Step 1: Write the proportion equation
   30,976 : 67,648 = 67,648 : x
2. Step 2: Convert to fraction form
   30,976/67,648 = 67,648/x
3. Step 3: Cross multiply
   30,976x = 67,648 × 67,648
4. Step 4: Simplify right side
   30,976x = 4,576,251,904
5. Step 5: Solve for x
   x = 4,576,251,904/30,976
6. Step 6: Final answer
   x = 147,735.40