Finding the Third Proportional to 2,690 and 5,911

Step by Step Solution

1. Step 1: Write the proportion equation
   2,690 : 5,911 = 5,911 : x
2. Step 2: Convert to fraction form
   2,690/5,911 = 5,911/x
3. Step 3: Cross multiply
   2,690x = 5,911 × 5,911
4. Step 4: Simplify right side
   2,690x = 34,939,921
5. Step 5: Solve for x
   x = 34,939,921/2,690
6. Step 6: Final answer
   x = 12,988.82