Finding the Third Proportional to 2,614.75 and 3,780.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,614.75 : 3,780.38 = 3,780.38 : x
2. Step 2: Convert to fraction form
   2,614.75/3,780.38 = 3,780.38/x
3. Step 3: Cross multiply
   2,614.75x = 3,780.38 × 3,780.38
4. Step 4: Simplify right side
   2,614.75x = 14,291,235.14
5. Step 5: Solve for x
   x = 14,291,235.14/2,614.75
6. Step 6: Final answer
   x = 5,465.62