Finding the Third Proportional to 20,666 and 31,701

Step by Step Solution

1. Step 1: Write the proportion equation
   20,666 : 31,701 = 31,701 : x
2. Step 2: Convert to fraction form
   20,666/31,701 = 31,701/x
3. Step 3: Cross multiply
   20,666x = 31,701 × 31,701
4. Step 4: Simplify right side
   20,666x = 1,004,953,401
5. Step 5: Solve for x
   x = 1,004,953,401/20,666
6. Step 6: Final answer
   x = 48,628.35