Finding the Third Proportional to 2,105.74 and 4,584.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.74 : 4,584.98 = 4,584.98 : x
2. Step 2: Convert to fraction form
   2,105.74/4,584.98 = 4,584.98/x
3. Step 3: Cross multiply
   2,105.74x = 4,584.98 × 4,584.98
4. Step 4: Simplify right side
   2,105.74x = 21,022,081.72
5. Step 5: Solve for x
   x = 21,022,081.72/2,105.74
6. Step 6: Final answer
   x = 9,983.22