Finding the Third Proportional to 20,340 and 31,522

Step by Step Solution

1. Step 1: Write the proportion equation
   20,340 : 31,522 = 31,522 : x
2. Step 2: Convert to fraction form
   20,340/31,522 = 31,522/x
3. Step 3: Cross multiply
   20,340x = 31,522 × 31,522
4. Step 4: Simplify right side
   20,340x = 993,636,484
5. Step 5: Solve for x
   x = 993,636,484/20,340
6. Step 6: Final answer
   x = 48,851.35