Finding the Third Proportional to 20,396 and 31,522

Step by Step Solution

1. Step 1: Write the proportion equation
   20,396 : 31,522 = 31,522 : x
2. Step 2: Convert to fraction form
   20,396/31,522 = 31,522/x
3. Step 3: Cross multiply
   20,396x = 31,522 × 31,522
4. Step 4: Simplify right side
   20,396x = 993,636,484
5. Step 5: Solve for x
   x = 993,636,484/20,396
6. Step 6: Final answer
   x = 48,717.22