Finding the Third Proportional to 3,843 and 5,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843 : 5,945.50 = 5,945.50 : x
2. Step 2: Convert to fraction form
   3,843/5,945.50 = 5,945.50/x
3. Step 3: Cross multiply
   3,843x = 5,945.50 × 5,945.50
4. Step 4: Simplify right side
   3,843x = 35,348,970.25
5. Step 5: Solve for x
   x = 35,348,970.25/3,843
6. Step 6: Final answer
   x = 9,198.27