Finding the Third Proportional to 2,824.50 and 5,019

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.50 : 5,019 = 5,019 : x
2. Step 2: Convert to fraction form
   2,824.50/5,019 = 5,019/x
3. Step 3: Cross multiply
   2,824.50x = 5,019 × 5,019
4. Step 4: Simplify right side
   2,824.50x = 25,190,361
5. Step 5: Solve for x
   x = 25,190,361/2,824.50
6. Step 6: Final answer
   x = 8,918.52