Finding the Third Proportional to 2,864 and 4,540

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864 : 4,540 = 4,540 : x
2. Step 2: Convert to fraction form
   2,864/4,540 = 4,540/x
3. Step 3: Cross multiply
   2,864x = 4,540 × 4,540
4. Step 4: Simplify right side
   2,864x = 20,611,600
5. Step 5: Solve for x
   x = 20,611,600/2,864
6. Step 6: Final answer
   x = 7,196.79