Finding the Third Proportional to 2,330 and 3,636

Step by Step Solution

1. Step 1: Write the proportion equation
   2,330 : 3,636 = 3,636 : x
2. Step 2: Convert to fraction form
   2,330/3,636 = 3,636/x
3. Step 3: Cross multiply
   2,330x = 3,636 × 3,636
4. Step 4: Simplify right side
   2,330x = 13,220,496
5. Step 5: Solve for x
   x = 13,220,496/2,330
6. Step 6: Final answer
   x = 5,674.03