Finding the Third Proportional to 2,108 and 5,270

Step by Step Solution

1. Step 1: Write the proportion equation
   2,108 : 5,270 = 5,270 : x
2. Step 2: Convert to fraction form
   2,108/5,270 = 5,270/x
3. Step 3: Cross multiply
   2,108x = 5,270 × 5,270
4. Step 4: Simplify right side
   2,108x = 27,772,900
5. Step 5: Solve for x
   x = 27,772,900/2,108
6. Step 6: Final answer
   x = 13,175