Finding the Third Proportional to 3,186.42 and 4,084.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,186.42 : 4,084.59 = 4,084.59 : x
2. Step 2: Convert to fraction form
   3,186.42/4,084.59 = 4,084.59/x
3. Step 3: Cross multiply
   3,186.42x = 4,084.59 × 4,084.59
4. Step 4: Simplify right side
   3,186.42x = 16,683,906.10
5. Step 5: Solve for x
   x = 16,683,906.10/3,186.42
6. Step 6: Final answer
   x = 5,235.94