Finding the Third Proportional to 31,968 and 68,337

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 68,337 = 68,337 : x
2. Step 2: Convert to fraction form
   31,968/68,337 = 68,337/x
3. Step 3: Cross multiply
   31,968x = 68,337 × 68,337
4. Step 4: Simplify right side
   31,968x = 4,669,945,569
5. Step 5: Solve for x
   x = 4,669,945,569/31,968
6. Step 6: Final answer
   x = 146,081.88