Finding the Third Proportional to 20,124 and 31,274

Step by Step Solution

1. Step 1: Write the proportion equation
   20,124 : 31,274 = 31,274 : x
2. Step 2: Convert to fraction form
   20,124/31,274 = 31,274/x
3. Step 3: Cross multiply
   20,124x = 31,274 × 31,274
4. Step 4: Simplify right side
   20,124x = 978,063,076
5. Step 5: Solve for x
   x = 978,063,076/20,124
6. Step 6: Final answer
   x = 48,601.82