Finding the Third Proportional to 21,082 and 31,762

Step by Step Solution

1. Step 1: Write the proportion equation
   21,082 : 31,762 = 31,762 : x
2. Step 2: Convert to fraction form
   21,082/31,762 = 31,762/x
3. Step 3: Cross multiply
   21,082x = 31,762 × 31,762
4. Step 4: Simplify right side
   21,082x = 1,008,824,644
5. Step 5: Solve for x
   x = 1,008,824,644/21,082
6. Step 6: Final answer
   x = 47,852.42