Finding the Third Proportional to 4,747.50 and 7,082

Step by Step Solution

1. Step 1: Write the proportion equation
   4,747.50 : 7,082 = 7,082 : x
2. Step 2: Convert to fraction form
   4,747.50/7,082 = 7,082/x
3. Step 3: Cross multiply
   4,747.50x = 7,082 × 7,082
4. Step 4: Simplify right side
   4,747.50x = 50,154,724
5. Step 5: Solve for x
   x = 50,154,724/4,747.50
6. Step 6: Final answer
   x = 10,564.45