Finding the Third Proportional to 20,476 and 31,302

Step by Step Solution

1. Step 1: Write the proportion equation
   20,476 : 31,302 = 31,302 : x
2. Step 2: Convert to fraction form
   20,476/31,302 = 31,302/x
3. Step 3: Cross multiply
   20,476x = 31,302 × 31,302
4. Step 4: Simplify right side
   20,476x = 979,815,204
5. Step 5: Solve for x
   x = 979,815,204/20,476
6. Step 6: Final answer
   x = 47,851.89