Finding the Third Proportional to 20,084 and 31,082

Step by Step Solution

1. Step 1: Write the proportion equation
   20,084 : 31,082 = 31,082 : x
2. Step 2: Convert to fraction form
   20,084/31,082 = 31,082/x
3. Step 3: Cross multiply
   20,084x = 31,082 × 31,082
4. Step 4: Simplify right side
   20,084x = 966,090,724
5. Step 5: Solve for x
   x = 966,090,724/20,084
6. Step 6: Final answer
   x = 48,102.51