Finding the Third Proportional to 2,606 and 5,733

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 5,733 = 5,733 : x
2. Step 2: Convert to fraction form
   2,606/5,733 = 5,733/x
3. Step 3: Cross multiply
   2,606x = 5,733 × 5,733
4. Step 4: Simplify right side
   2,606x = 32,867,289
5. Step 5: Solve for x
   x = 32,867,289/2,606
6. Step 6: Final answer
   x = 12,612.16