Finding the Third Proportional to 31,041 and 67,266

Step by Step Solution

1. Step 1: Write the proportion equation
   31,041 : 67,266 = 67,266 : x
2. Step 2: Convert to fraction form
   31,041/67,266 = 67,266/x
3. Step 3: Cross multiply
   31,041x = 67,266 × 67,266
4. Step 4: Simplify right side
   31,041x = 4,524,714,756
5. Step 5: Solve for x
   x = 4,524,714,756/31,041
6. Step 6: Final answer
   x = 145,765.75