Finding the Third Proportional to 2,330 and 5,023

Step by Step Solution

1. Step 1: Write the proportion equation
   2,330 : 5,023 = 5,023 : x
2. Step 2: Convert to fraction form
   2,330/5,023 = 5,023/x
3. Step 3: Cross multiply
   2,330x = 5,023 × 5,023
4. Step 4: Simplify right side
   2,330x = 25,230,529
5. Step 5: Solve for x
   x = 25,230,529/2,330
6. Step 6: Final answer
   x = 10,828.55