Finding the Third Proportional to 31,668 and 50,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,668 : 50,142.75 = 50,142.75 : x
2. Step 2: Convert to fraction form
   31,668/50,142.75 = 50,142.75/x
3. Step 3: Cross multiply
   31,668x = 50,142.75 × 50,142.75
4. Step 4: Simplify right side
   31,668x = 2,514,295,377.56
5. Step 5: Solve for x
   x = 2,514,295,377.56/31,668
6. Step 6: Final answer
   x = 79,395.46