Finding the Third Proportional to 3,853.95 and 4,978.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,853.95 : 4,978.42 = 4,978.42 : x
2. Step 2: Convert to fraction form
   3,853.95/4,978.42 = 4,978.42/x
3. Step 3: Cross multiply
   3,853.95x = 4,978.42 × 4,978.42
4. Step 4: Simplify right side
   3,853.95x = 24,784,616.30
5. Step 5: Solve for x
   x = 24,784,616.30/3,853.95
6. Step 6: Final answer
   x = 6,430.97