Finding the Third Proportional to 3,191.25 and 4,665.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,191.25 : 4,665.38 = 4,665.38 : x
2. Step 2: Convert to fraction form
   3,191.25/4,665.38 = 4,665.38/x
3. Step 3: Cross multiply
   3,191.25x = 4,665.38 × 4,665.38
4. Step 4: Simplify right side
   3,191.25x = 21,765,723.89
5. Step 5: Solve for x
   x = 21,765,723.89/3,191.25
6. Step 6: Final answer
   x = 6,820.44