Finding the Third Proportional to 2,584.41 and 3,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.41 : 3,901.50 = 3,901.50 : x
2. Step 2: Convert to fraction form
   2,584.41/3,901.50 = 3,901.50/x
3. Step 3: Cross multiply
   2,584.41x = 3,901.50 × 3,901.50
4. Step 4: Simplify right side
   2,584.41x = 15,221,702.25
5. Step 5: Solve for x
   x = 15,221,702.25/2,584.41
6. Step 6: Final answer
   x = 5,889.83