Finding the Third Proportional to 2,286 and 5,345

Step by Step Solution

1. Step 1: Write the proportion equation
   2,286 : 5,345 = 5,345 : x
2. Step 2: Convert to fraction form
   2,286/5,345 = 5,345/x
3. Step 3: Cross multiply
   2,286x = 5,345 × 5,345
4. Step 4: Simplify right side
   2,286x = 28,569,025
5. Step 5: Solve for x
   x = 28,569,025/2,286
6. Step 6: Final answer
   x = 12,497.39