Finding the Third Proportional to 2,633.50 and 4,078

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.50 : 4,078 = 4,078 : x
2. Step 2: Convert to fraction form
   2,633.50/4,078 = 4,078/x
3. Step 3: Cross multiply
   2,633.50x = 4,078 × 4,078
4. Step 4: Simplify right side
   2,633.50x = 16,630,084
5. Step 5: Solve for x
   x = 16,630,084/2,633.50
6. Step 6: Final answer
   x = 6,314.82