Finding the Third Proportional to 2,409.75 and 3,538.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,409.75 : 3,538.69 = 3,538.69 : x
2. Step 2: Convert to fraction form
   2,409.75/3,538.69 = 3,538.69/x
3. Step 3: Cross multiply
   2,409.75x = 3,538.69 × 3,538.69
4. Step 4: Simplify right side
   2,409.75x = 12,522,309.22
5. Step 5: Solve for x
   x = 12,522,309.22/2,409.75
6. Step 6: Final answer
   x = 5,196.52