Finding the Third Proportional to 1,395.75 and 3,627.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,395.75 : 3,627.38 = 3,627.38 : x
2. Step 2: Convert to fraction form
   1,395.75/3,627.38 = 3,627.38/x
3. Step 3: Cross multiply
   1,395.75x = 3,627.38 × 3,627.38
4. Step 4: Simplify right side
   1,395.75x = 13,157,849.39
5. Step 5: Solve for x
   x = 13,157,849.39/1,395.75
6. Step 6: Final answer
   x = 9,427.08