Finding the Third Proportional to 4,506 and 5,082

Step by Step Solution

1. Step 1: Write the proportion equation
   4,506 : 5,082 = 5,082 : x
2. Step 2: Convert to fraction form
   4,506/5,082 = 5,082/x
3. Step 3: Cross multiply
   4,506x = 5,082 × 5,082
4. Step 4: Simplify right side
   4,506x = 25,826,724
5. Step 5: Solve for x
   x = 25,826,724/4,506
6. Step 6: Final answer
   x = 5,731.63