Finding the Third Proportional to 20,082 and 31,096

Step by Step Solution

1. Step 1: Write the proportion equation
   20,082 : 31,096 = 31,096 : x
2. Step 2: Convert to fraction form
   20,082/31,096 = 31,096/x
3. Step 3: Cross multiply
   20,082x = 31,096 × 31,096
4. Step 4: Simplify right side
   20,082x = 966,961,216
5. Step 5: Solve for x
   x = 966,961,216/20,082
6. Step 6: Final answer
   x = 48,150.64