Finding the Third Proportional to 3,843 and 5,100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843 : 5,100.75 = 5,100.75 : x
2. Step 2: Convert to fraction form
   3,843/5,100.75 = 5,100.75/x
3. Step 3: Cross multiply
   3,843x = 5,100.75 × 5,100.75
4. Step 4: Simplify right side
   3,843x = 26,017,650.56
5. Step 5: Solve for x
   x = 26,017,650.56/3,843
6. Step 6: Final answer
   x = 6,770.14