Finding the Third Proportional to 20,398 and 31,520

Step by Step Solution

1. Step 1: Write the proportion equation
   20,398 : 31,520 = 31,520 : x
2. Step 2: Convert to fraction form
   20,398/31,520 = 31,520/x
3. Step 3: Cross multiply
   20,398x = 31,520 × 31,520
4. Step 4: Simplify right side
   20,398x = 993,510,400
5. Step 5: Solve for x
   x = 993,510,400/20,398
6. Step 6: Final answer
   x = 48,706.27