Finding the Third Proportional to 2,031.75 and 4,427.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,031.75 : 4,427.25 = 4,427.25 : x
2. Step 2: Convert to fraction form
   2,031.75/4,427.25 = 4,427.25/x
3. Step 3: Cross multiply
   2,031.75x = 4,427.25 × 4,427.25
4. Step 4: Simplify right side
   2,031.75x = 19,600,542.56
5. Step 5: Solve for x
   x = 19,600,542.56/2,031.75
6. Step 6: Final answer
   x = 9,647.12