Finding the Third Proportional to 5,664.94 and 8,469.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,664.94 : 8,469.56 = 8,469.56 : x
2. Step 2: Convert to fraction form
   5,664.94/8,469.56 = 8,469.56/x
3. Step 3: Cross multiply
   5,664.94x = 8,469.56 × 8,469.56
4. Step 4: Simplify right side
   5,664.94x = 71,733,488.94
5. Step 5: Solve for x
   x = 71,733,488.94/5,664.94
6. Step 6: Final answer
   x = 12,662.71