Finding the Third Proportional to 3,168 and 5,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,168 : 5,944.50 = 5,944.50 : x
2. Step 2: Convert to fraction form
   3,168/5,944.50 = 5,944.50/x
3. Step 3: Cross multiply
   3,168x = 5,944.50 × 5,944.50
4. Step 4: Simplify right side
   3,168x = 35,337,080.25
5. Step 5: Solve for x
   x = 35,337,080.25/3,168
6. Step 6: Final answer
   x = 11,154.38