Finding the Third Proportional to 2,558.25 and 3,819.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.25 : 3,819.94 = 3,819.94 : x
2. Step 2: Convert to fraction form
   2,558.25/3,819.94 = 3,819.94/x
3. Step 3: Cross multiply
   2,558.25x = 3,819.94 × 3,819.94
4. Step 4: Simplify right side
   2,558.25x = 14,591,922.50
5. Step 5: Solve for x
   x = 14,591,922.50/2,558.25
6. Step 6: Final answer
   x = 5,703.87