Finding the Third Proportional to 4,609 and 10,082

Step by Step Solution

1. Step 1: Write the proportion equation
   4,609 : 10,082 = 10,082 : x
2. Step 2: Convert to fraction form
   4,609/10,082 = 10,082/x
3. Step 3: Cross multiply
   4,609x = 10,082 × 10,082
4. Step 4: Simplify right side
   4,609x = 101,646,724
5. Step 5: Solve for x
   x = 101,646,724/4,609
6. Step 6: Final answer
   x = 22,053.96