Finding the Third Proportional to 2,561.06 and 3,447.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.06 : 3,447.56 = 3,447.56 : x
2. Step 2: Convert to fraction form
   2,561.06/3,447.56 = 3,447.56/x
3. Step 3: Cross multiply
   2,561.06x = 3,447.56 × 3,447.56
4. Step 4: Simplify right side
   2,561.06x = 11,885,687.19
5. Step 5: Solve for x
   x = 11,885,687.19/2,561.06
6. Step 6: Final answer
   x = 4,640.92