Finding the Third Proportional to 31,668 and 68,014

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 68,014 = 68,014 : x
2. Step 2: Convert to fraction form
   31,668/68,014 = 68,014/x
3. Step 3: Cross multiply
   31,668x = 68,014 × 68,014
4. Step 4: Simplify right side
   31,668x = 4,625,904,196
5. Step 5: Solve for x
   x = 4,625,904,196/31,668
6. Step 6: Final answer
   x = 146,075.03