Finding the Third Proportional to 2,604 and 5,693

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604 : 5,693 = 5,693 : x
2. Step 2: Convert to fraction form
   2,604/5,693 = 5,693/x
3. Step 3: Cross multiply
   2,604x = 5,693 × 5,693
4. Step 4: Simplify right side
   2,604x = 32,410,249
5. Step 5: Solve for x
   x = 32,410,249/2,604
6. Step 6: Final answer
   x = 12,446.33