Finding the Third Proportional to 4,672.69 and 5,614.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,672.69 : 5,614.31 = 5,614.31 : x
2. Step 2: Convert to fraction form
   4,672.69/5,614.31 = 5,614.31/x
3. Step 3: Cross multiply
   4,672.69x = 5,614.31 × 5,614.31
4. Step 4: Simplify right side
   4,672.69x = 31,520,504.85
5. Step 5: Solve for x
   x = 31,520,504.85/4,672.69
6. Step 6: Final answer
   x = 6,745.69