Finding the Third Proportional to 2,298 and 5,024

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298 : 5,024 = 5,024 : x
2. Step 2: Convert to fraction form
   2,298/5,024 = 5,024/x
3. Step 3: Cross multiply
   2,298x = 5,024 × 5,024
4. Step 4: Simplify right side
   2,298x = 25,240,576
5. Step 5: Solve for x
   x = 25,240,576/2,298
6. Step 6: Final answer
   x = 10,983.71