Finding the Third Proportional to 31,674 and 68,006

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674 : 68,006 = 68,006 : x
2. Step 2: Convert to fraction form
   31,674/68,006 = 68,006/x
3. Step 3: Cross multiply
   31,674x = 68,006 × 68,006
4. Step 4: Simplify right side
   31,674x = 4,624,816,036
5. Step 5: Solve for x
   x = 4,624,816,036/31,674
6. Step 6: Final answer
   x = 146,013.01