Finding the Third Proportional to 2,447.72 and 5,709.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,447.72 : 5,709.23 = 5,709.23 : x
2. Step 2: Convert to fraction form
   2,447.72/5,709.23 = 5,709.23/x
3. Step 3: Cross multiply
   2,447.72x = 5,709.23 × 5,709.23
4. Step 4: Simplify right side
   2,447.72x = 32,595,357.15
5. Step 5: Solve for x
   x = 32,595,357.15/2,447.72
6. Step 6: Final answer
   x = 13,316.63