Finding the Third Proportional to 31,022 and 64,666

Step by Step Solution

1. Step 1: Write the proportion equation
   31,022 : 64,666 = 64,666 : x
2. Step 2: Convert to fraction form
   31,022/64,666 = 64,666/x
3. Step 3: Cross multiply
   31,022x = 64,666 × 64,666
4. Step 4: Simplify right side
   31,022x = 4,181,691,556
5. Step 5: Solve for x
   x = 4,181,691,556/31,022
6. Step 6: Final answer
   x = 134,797.61