Finding the Third Proportional to 2,496.38 and 3,657.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,496.38 : 3,657.94 = 3,657.94 : x
2. Step 2: Convert to fraction form
   2,496.38/3,657.94 = 3,657.94/x
3. Step 3: Cross multiply
   2,496.38x = 3,657.94 × 3,657.94
4. Step 4: Simplify right side
   2,496.38x = 13,380,506.75
5. Step 5: Solve for x
   x = 13,380,506.75/2,496.38
6. Step 6: Final answer
   x = 5,359.97