Finding the Third Proportional to 2,636 and 5,677

Step by Step Solution

1. Step 1: Write the proportion equation
   2,636 : 5,677 = 5,677 : x
2. Step 2: Convert to fraction form
   2,636/5,677 = 5,677/x
3. Step 3: Cross multiply
   2,636x = 5,677 × 5,677
4. Step 4: Simplify right side
   2,636x = 32,228,329
5. Step 5: Solve for x
   x = 32,228,329/2,636
6. Step 6: Final answer
   x = 12,226.22