Finding the Third Proportional to 31,104 and 67,824

Step by Step Solution

1. Step 1: Write the proportion equation
   31,104 : 67,824 = 67,824 : x
2. Step 2: Convert to fraction form
   31,104/67,824 = 67,824/x
3. Step 3: Cross multiply
   31,104x = 67,824 × 67,824
4. Step 4: Simplify right side
   31,104x = 4,600,094,976
5. Step 5: Solve for x
   x = 4,600,094,976/31,104
6. Step 6: Final answer
   x = 147,894