Finding the Third Proportional to 2,330 and 4,860

Step by Step Solution

1. Step 1: Write the proportion equation
   2,330 : 4,860 = 4,860 : x
2. Step 2: Convert to fraction form
   2,330/4,860 = 4,860/x
3. Step 3: Cross multiply
   2,330x = 4,860 × 4,860
4. Step 4: Simplify right side
   2,330x = 23,619,600
5. Step 5: Solve for x
   x = 23,619,600/2,330
6. Step 6: Final answer
   x = 10,137.17