Finding the Third Proportional to 2,617.69 and 5,697.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.69 : 5,697.06 = 5,697.06 : x
2. Step 2: Convert to fraction form
   2,617.69/5,697.06 = 5,697.06/x
3. Step 3: Cross multiply
   2,617.69x = 5,697.06 × 5,697.06
4. Step 4: Simplify right side
   2,617.69x = 32,456,521.13
5. Step 5: Solve for x
   x = 32,456,521.13/2,617.69
6. Step 6: Final answer
   x = 12,398.93