Finding the Third Proportional to 20,124 and 31,279

Step by Step Solution

1. Step 1: Write the proportion equation
   20,124 : 31,279 = 31,279 : x
2. Step 2: Convert to fraction form
   20,124/31,279 = 31,279/x
3. Step 3: Cross multiply
   20,124x = 31,279 × 31,279
4. Step 4: Simplify right side
   20,124x = 978,375,841
5. Step 5: Solve for x
   x = 978,375,841/20,124
6. Step 6: Final answer
   x = 48,617.36