Finding the Third Proportional to 3,111.75 and 4,494.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,111.75 : 4,494.38 = 4,494.38 : x
2. Step 2: Convert to fraction form
   3,111.75/4,494.38 = 4,494.38/x
3. Step 3: Cross multiply
   3,111.75x = 4,494.38 × 4,494.38
4. Step 4: Simplify right side
   3,111.75x = 20,199,406.64
5. Step 5: Solve for x
   x = 20,199,406.64/3,111.75
6. Step 6: Final answer
   x = 6,491.33