Finding the Third Proportional to 2,617.75 and 5,526.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617.75 : 5,526.75 = 5,526.75 : x
2. Step 2: Convert to fraction form
   2,617.75/5,526.75 = 5,526.75/x
3. Step 3: Cross multiply
   2,617.75x = 5,526.75 × 5,526.75
4. Step 4: Simplify right side
   2,617.75x = 30,544,965.56
5. Step 5: Solve for x
   x = 30,544,965.56/2,617.75
6. Step 6: Final answer
   x = 11,668.40