Finding the Third Proportional to 1,647.42 and 3,640.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,647.42 : 3,640.78 = 3,640.78 : x
2. Step 2: Convert to fraction form
   1,647.42/3,640.78 = 3,640.78/x
3. Step 3: Cross multiply
   1,647.42x = 3,640.78 × 3,640.78
4. Step 4: Simplify right side
   1,647.42x = 13,255,288.11
5. Step 5: Solve for x
   x = 13,255,288.11/1,647.42
6. Step 6: Final answer
   x = 8,046.08