Finding the Third Proportional to 2,561.06 and 5,419.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.06 : 5,419.69 = 5,419.69 : x
2. Step 2: Convert to fraction form
   2,561.06/5,419.69 = 5,419.69/x
3. Step 3: Cross multiply
   2,561.06x = 5,419.69 × 5,419.69
4. Step 4: Simplify right side
   2,561.06x = 29,373,012.60
5. Step 5: Solve for x
   x = 29,373,012.60/2,561.06
6. Step 6: Final answer
   x = 11,469.07