Finding the Third Proportional to 2,749.92 and 3,736.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.92 : 3,736.27 = 3,736.27 : x
2. Step 2: Convert to fraction form
   2,749.92/3,736.27 = 3,736.27/x
3. Step 3: Cross multiply
   2,749.92x = 3,736.27 × 3,736.27
4. Step 4: Simplify right side
   2,749.92x = 13,959,680.82
5. Step 5: Solve for x
   x = 13,959,680.82/2,749.92
6. Step 6: Final answer
   x = 5,076.39