Finding the Third Proportional to 2,411.25 and 3,819.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.25 : 3,819.75 = 3,819.75 : x
2. Step 2: Convert to fraction form
   2,411.25/3,819.75 = 3,819.75/x
3. Step 3: Cross multiply
   2,411.25x = 3,819.75 × 3,819.75
4. Step 4: Simplify right side
   2,411.25x = 14,590,490.06
5. Step 5: Solve for x
   x = 14,590,490.06/2,411.25
6. Step 6: Final answer
   x = 6,051.01