Finding the Third Proportional to 2,186 and 2,390

Step by Step Solution

1. Step 1: Write the proportion equation
   2,186 : 2,390 = 2,390 : x
2. Step 2: Convert to fraction form
   2,186/2,390 = 2,390/x
3. Step 3: Cross multiply
   2,186x = 2,390 × 2,390
4. Step 4: Simplify right side
   2,186x = 5,712,100
5. Step 5: Solve for x
   x = 5,712,100/2,186
6. Step 6: Final answer
   x = 2,613.04