Finding the Third Proportional to 3,747.38 and 5,749.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.38 : 5,749.88 = 5,749.88 : x
2. Step 2: Convert to fraction form
   3,747.38/5,749.88 = 5,749.88/x
3. Step 3: Cross multiply
   3,747.38x = 5,749.88 × 5,749.88
4. Step 4: Simplify right side
   3,747.38x = 33,061,062.52
5. Step 5: Solve for x
   x = 33,061,062.52/3,747.38
6. Step 6: Final answer
   x = 8,822.46