Finding the Third Proportional to 2,596.22 and 5,561.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.22 : 5,561.58 = 5,561.58 : x
2. Step 2: Convert to fraction form
   2,596.22/5,561.58 = 5,561.58/x
3. Step 3: Cross multiply
   2,596.22x = 5,561.58 × 5,561.58
4. Step 4: Simplify right side
   2,596.22x = 30,931,151.24
5. Step 5: Solve for x
   x = 30,931,151.24/2,596.22
6. Step 6: Final answer
   x = 11,913.92