Finding the Third Proportional to 31,569 and 68,059

Step by Step Solution

1. Step 1: Write the proportion equation
   31,569 : 68,059 = 68,059 : x
2. Step 2: Convert to fraction form
   31,569/68,059 = 68,059/x
3. Step 3: Cross multiply
   31,569x = 68,059 × 68,059
4. Step 4: Simplify right side
   31,569x = 4,632,027,481
5. Step 5: Solve for x
   x = 4,632,027,481/31,569
6. Step 6: Final answer
   x = 146,727.09