Finding the Third Proportional to 3,859 and 5,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,859 : 5,644.50 = 5,644.50 : x
2. Step 2: Convert to fraction form
   3,859/5,644.50 = 5,644.50/x
3. Step 3: Cross multiply
   3,859x = 5,644.50 × 5,644.50
4. Step 4: Simplify right side
   3,859x = 31,860,380.25
5. Step 5: Solve for x
   x = 31,860,380.25/3,859
6. Step 6: Final answer
   x = 8,256.12