Finding the Third Proportional to 2,141.44 and 3,177.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.44 : 3,177.98 = 3,177.98 : x
2. Step 2: Convert to fraction form
   2,141.44/3,177.98 = 3,177.98/x
3. Step 3: Cross multiply
   2,141.44x = 3,177.98 × 3,177.98
4. Step 4: Simplify right side
   2,141.44x = 10,099,584.69
5. Step 5: Solve for x
   x = 10,099,584.69/2,141.44
6. Step 6: Final answer
   x = 4,716.26