Finding the Third Proportional to 31,544 and 67,738

Step by Step Solution

1. Step 1: Write the proportion equation
   31,544 : 67,738 = 67,738 : x
2. Step 2: Convert to fraction form
   31,544/67,738 = 67,738/x
3. Step 3: Cross multiply
   31,544x = 67,738 × 67,738
4. Step 4: Simplify right side
   31,544x = 4,588,436,644
5. Step 5: Solve for x
   x = 4,588,436,644/31,544
6. Step 6: Final answer
   x = 145,461.47