Finding the Third Proportional to 3,410.25 and 4,582.77

Step by Step Solution

1. Step 1: Write the proportion equation
   3,410.25 : 4,582.77 = 4,582.77 : x
2. Step 2: Convert to fraction form
   3,410.25/4,582.77 = 4,582.77/x
3. Step 3: Cross multiply
   3,410.25x = 4,582.77 × 4,582.77
4. Step 4: Simplify right side
   3,410.25x = 21,001,769.86
5. Step 5: Solve for x
   x = 21,001,769.86/3,410.25
6. Step 6: Final answer
   x = 6,158.43