Finding the Third Proportional to 2,376 and 3,657.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376 : 3,657.38 = 3,657.38 : x
2. Step 2: Convert to fraction form
   2,376/3,657.38 = 3,657.38/x
3. Step 3: Cross multiply
   2,376x = 3,657.38 × 3,657.38
4. Step 4: Simplify right side
   2,376x = 13,376,391.89
5. Step 5: Solve for x
   x = 13,376,391.89/2,376
6. Step 6: Final answer
   x = 5,629.79