Finding the Third Proportional to 2,606 and 3,380

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 3,380 = 3,380 : x
2. Step 2: Convert to fraction form
   2,606/3,380 = 3,380/x
3. Step 3: Cross multiply
   2,606x = 3,380 × 3,380
4. Step 4: Simplify right side
   2,606x = 11,424,400
5. Step 5: Solve for x
   x = 11,424,400/2,606
6. Step 6: Final answer
   x = 4,383.88