Finding the Third Proportional to 2,618.26 and 5,697.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,618.26 : 5,697.21 = 5,697.21 : x
2. Step 2: Convert to fraction form
   2,618.26/5,697.21 = 5,697.21/x
3. Step 3: Cross multiply
   2,618.26x = 5,697.21 × 5,697.21
4. Step 4: Simplify right side
   2,618.26x = 32,458,212.47
5. Step 5: Solve for x
   x = 32,458,212.47/2,618.26
6. Step 6: Final answer
   x = 12,396.86