Finding the Third Proportional to 2,606 and 5,338

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 5,338 = 5,338 : x
2. Step 2: Convert to fraction form
   2,606/5,338 = 5,338/x
3. Step 3: Cross multiply
   2,606x = 5,338 × 5,338
4. Step 4: Simplify right side
   2,606x = 28,494,244
5. Step 5: Solve for x
   x = 28,494,244/2,606
6. Step 6: Final answer
   x = 10,934.09