Finding the Third Proportional to 2,062.65 and 3,641.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,062.65 : 3,641.20 = 3,641.20 : x
2. Step 2: Convert to fraction form
   2,062.65/3,641.20 = 3,641.20/x
3. Step 3: Cross multiply
   2,062.65x = 3,641.20 × 3,641.20
4. Step 4: Simplify right side
   2,062.65x = 13,258,360.20
5. Step 5: Solve for x
   x = 13,258,360.20/2,062.65
6. Step 6: Final answer
   x = 6,427.82