Finding the Third Proportional to 4,884 and 10,082

Step by Step Solution

1. Step 1: Write the proportion equation
   4,884 : 10,082 = 10,082 : x
2. Step 2: Convert to fraction form
   4,884/10,082 = 10,082/x
3. Step 3: Cross multiply
   4,884x = 10,082 × 10,082
4. Step 4: Simplify right side
   4,884x = 101,646,724
5. Step 5: Solve for x
   x = 101,646,724/4,884
6. Step 6: Final answer
   x = 20,812.19