Finding the Third Proportional to 27,863 and 57,082

Step by Step Solution

1. Step 1: Write the proportion equation
   27,863 : 57,082 = 57,082 : x
2. Step 2: Convert to fraction form
   27,863/57,082 = 57,082/x
3. Step 3: Cross multiply
   27,863x = 57,082 × 57,082
4. Step 4: Simplify right side
   27,863x = 3,258,354,724
5. Step 5: Solve for x
   x = 3,258,354,724/27,863
6. Step 6: Final answer
   x = 116,941.99