Finding the Third Proportional to 2,564.16 and 5,446.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.16 : 5,446.97 = 5,446.97 : x
2. Step 2: Convert to fraction form
   2,564.16/5,446.97 = 5,446.97/x
3. Step 3: Cross multiply
   2,564.16x = 5,446.97 × 5,446.97
4. Step 4: Simplify right side
   2,564.16x = 29,669,468.56
5. Step 5: Solve for x
   x = 29,669,468.56/2,564.16
6. Step 6: Final answer
   x = 11,570.85