Finding the Third Proportional to 3,844.13 and 5,443.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,844.13 : 5,443.88 = 5,443.88 : x
2. Step 2: Convert to fraction form
   3,844.13/5,443.88 = 5,443.88/x
3. Step 3: Cross multiply
   3,844.13x = 5,443.88 × 5,443.88
4. Step 4: Simplify right side
   3,844.13x = 29,635,775.02
5. Step 5: Solve for x
   x = 29,635,775.02/3,844.13
6. Step 6: Final answer
   x = 7,709.37