Finding the Third Proportional to 20,322 and 31,451

Step by Step Solution

1. Step 1: Write the proportion equation
   20,322 : 31,451 = 31,451 : x
2. Step 2: Convert to fraction form
   20,322/31,451 = 31,451/x
3. Step 3: Cross multiply
   20,322x = 31,451 × 31,451
4. Step 4: Simplify right side
   20,322x = 989,165,401
5. Step 5: Solve for x
   x = 989,165,401/20,322
6. Step 6: Final answer
   x = 48,674.61