Finding the Third Proportional to 2,627.86 and 4,017.73

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.86 : 4,017.73 = 4,017.73 : x
2. Step 2: Convert to fraction form
   2,627.86/4,017.73 = 4,017.73/x
3. Step 3: Cross multiply
   2,627.86x = 4,017.73 × 4,017.73
4. Step 4: Simplify right side
   2,627.86x = 16,142,126.73
5. Step 5: Solve for x
   x = 16,142,126.73/2,627.86
6. Step 6: Final answer
   x = 6,142.69