Finding the Third Proportional to 1,408.64 and 2,962.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,408.64 : 2,962.83 = 2,962.83 : x
2. Step 2: Convert to fraction form
   1,408.64/2,962.83 = 2,962.83/x
3. Step 3: Cross multiply
   1,408.64x = 2,962.83 × 2,962.83
4. Step 4: Simplify right side
   1,408.64x = 8,778,350.50
5. Step 5: Solve for x
   x = 8,778,350.50/1,408.64
6. Step 6: Final answer
   x = 6,231.79