Finding the Third Proportional to 2,390 and 5,233

Step by Step Solution

1. Step 1: Write the proportion equation
   2,390 : 5,233 = 5,233 : x
2. Step 2: Convert to fraction form
   2,390/5,233 = 5,233/x
3. Step 3: Cross multiply
   2,390x = 5,233 × 5,233
4. Step 4: Simplify right side
   2,390x = 27,384,289
5. Step 5: Solve for x
   x = 27,384,289/2,390
6. Step 6: Final answer
   x = 11,457.86