Finding the Third Proportional to 2,364.27 and 3,658.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,364.27 : 3,658.53 = 3,658.53 : x
2. Step 2: Convert to fraction form
   2,364.27/3,658.53 = 3,658.53/x
3. Step 3: Cross multiply
   2,364.27x = 3,658.53 × 3,658.53
4. Step 4: Simplify right side
   2,364.27x = 13,384,815.18
5. Step 5: Solve for x
   x = 13,384,815.18/2,364.27
6. Step 6: Final answer
   x = 5,661.30