Finding the Third Proportional to 2,530 and 5,186

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530 : 5,186 = 5,186 : x
2. Step 2: Convert to fraction form
   2,530/5,186 = 5,186/x
3. Step 3: Cross multiply
   2,530x = 5,186 × 5,186
4. Step 4: Simplify right side
   2,530x = 26,894,596
5. Step 5: Solve for x
   x = 26,894,596/2,530
6. Step 6: Final answer
   x = 10,630.28