Finding the Third Proportional to 20,510 and 31,630

Step by Step Solution

1. Step 1: Write the proportion equation
   20,510 : 31,630 = 31,630 : x
2. Step 2: Convert to fraction form
   20,510/31,630 = 31,630/x
3. Step 3: Cross multiply
   20,510x = 31,630 × 31,630
4. Step 4: Simplify right side
   20,510x = 1,000,456,900
5. Step 5: Solve for x
   x = 1,000,456,900/20,510
6. Step 6: Final answer
   x = 48,778.98