Finding the Third Proportional to 3,766.75 and 5,627.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.75 : 5,627.38 = 5,627.38 : x
2. Step 2: Convert to fraction form
   3,766.75/5,627.38 = 5,627.38/x
3. Step 3: Cross multiply
   3,766.75x = 5,627.38 × 5,627.38
4. Step 4: Simplify right side
   3,766.75x = 31,667,349.39
5. Step 5: Solve for x
   x = 31,667,349.39/3,766.75
6. Step 6: Final answer
   x = 8,407.07