Finding the Third Proportional to 2,102 and 3,290.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,102 : 3,290.25 = 3,290.25 : x
2. Step 2: Convert to fraction form
   2,102/3,290.25 = 3,290.25/x
3. Step 3: Cross multiply
   2,102x = 3,290.25 × 3,290.25
4. Step 4: Simplify right side
   2,102x = 10,825,745.06
5. Step 5: Solve for x
   x = 10,825,745.06/2,102
6. Step 6: Final answer
   x = 5,150.21