Finding the Third Proportional to 31,668 and 45,642

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 45,642 = 45,642 : x
2. Step 2: Convert to fraction form
   31,668/45,642 = 45,642/x
3. Step 3: Cross multiply
   31,668x = 45,642 × 45,642
4. Step 4: Simplify right side
   31,668x = 2,083,192,164
5. Step 5: Solve for x
   x = 2,083,192,164/31,668
6. Step 6: Final answer
   x = 65,782.25