Finding the Third Proportional to 4,196.44 and 5,679

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.44 : 5,679 = 5,679 : x
2. Step 2: Convert to fraction form
   4,196.44/5,679 = 5,679/x
3. Step 3: Cross multiply
   4,196.44x = 5,679 × 5,679
4. Step 4: Simplify right side
   4,196.44x = 32,251,041
5. Step 5: Solve for x
   x = 32,251,041/4,196.44
6. Step 6: Final answer
   x = 7,685.34