Finding the Third Proportional to 31,521 and 68,766

Step by Step Solution

1. Step 1: Write the proportion equation
   31,521 : 68,766 = 68,766 : x
2. Step 2: Convert to fraction form
   31,521/68,766 = 68,766/x
3. Step 3: Cross multiply
   31,521x = 68,766 × 68,766
4. Step 4: Simplify right side
   31,521x = 4,728,762,756
5. Step 5: Solve for x
   x = 4,728,762,756/31,521
6. Step 6: Final answer
   x = 150,019.44