Finding the Third Proportional to 2,617.63 and 5,697.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.63 : 5,697.63 = 5,697.63 : x
2. Step 2: Convert to fraction form
   2,617.63/5,697.63 = 5,697.63/x
3. Step 3: Cross multiply
   2,617.63x = 5,697.63 × 5,697.63
4. Step 4: Simplify right side
   2,617.63x = 32,462,930.64
5. Step 5: Solve for x
   x = 32,462,930.64/2,617.63
6. Step 6: Final answer
   x = 12,401.67