Finding the Third Proportional to 3,544.17 and 5,835.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,544.17 : 5,835.38 = 5,835.38 : x
2. Step 2: Convert to fraction form
   3,544.17/5,835.38 = 5,835.38/x
3. Step 3: Cross multiply
   3,544.17x = 5,835.38 × 5,835.38
4. Step 4: Simplify right side
   3,544.17x = 34,051,601.39
5. Step 5: Solve for x
   x = 34,051,601.39/3,544.17
6. Step 6: Final answer
   x = 9,607.77