Finding the Third Proportional to 2,227.92 and 3,736.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.92 : 3,736.55 = 3,736.55 : x
2. Step 2: Convert to fraction form
   2,227.92/3,736.55 = 3,736.55/x
3. Step 3: Cross multiply
   2,227.92x = 3,736.55 × 3,736.55
4. Step 4: Simplify right side
   2,227.92x = 13,961,782.55
5. Step 5: Solve for x
   x = 13,961,782.55/2,227.92
6. Step 6: Final answer
   x = 6,266.73