Finding the Third Proportional to 31,728 and 69,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728 : 69,288 = 69,288 : x
2. Step 2: Convert to fraction form
   31,728/69,288 = 69,288/x
3. Step 3: Cross multiply
   31,728x = 69,288 × 69,288
4. Step 4: Simplify right side
   31,728x = 4,800,826,944
5. Step 5: Solve for x
   x = 4,800,826,944/31,728
6. Step 6: Final answer
   x = 151,311.99