Finding the Third Proportional to 2,185.69 and 3,277.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.69 : 3,277.69 = 3,277.69 : x
2. Step 2: Convert to fraction form
   2,185.69/3,277.69 = 3,277.69/x
3. Step 3: Cross multiply
   2,185.69x = 3,277.69 × 3,277.69
4. Step 4: Simplify right side
   2,185.69x = 10,743,235.35
5. Step 5: Solve for x
   x = 10,743,235.35/2,185.69
6. Step 6: Final answer
   x = 4,915.27