Finding the Third Proportional to 2,296 and 5,020

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 5,020 = 5,020 : x
2. Step 2: Convert to fraction form
   2,296/5,020 = 5,020/x
3. Step 3: Cross multiply
   2,296x = 5,020 × 5,020
4. Step 4: Simplify right side
   2,296x = 25,200,400
5. Step 5: Solve for x
   x = 25,200,400/2,296
6. Step 6: Final answer
   x = 10,975.78