Finding the Third Proportional to 5,644.69 and 8,064.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.69 : 8,064.56 = 8,064.56 : x
2. Step 2: Convert to fraction form
   5,644.69/8,064.56 = 8,064.56/x
3. Step 3: Cross multiply
   5,644.69x = 8,064.56 × 8,064.56
4. Step 4: Simplify right side
   5,644.69x = 65,037,168.32
5. Step 5: Solve for x
   x = 65,037,168.32/5,644.69
6. Step 6: Final answer
   x = 11,521.84