Finding the Third Proportional to 2,302 and 3,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302 : 3,662 = 3,662 : x
2. Step 2: Convert to fraction form
   2,302/3,662 = 3,662/x
3. Step 3: Cross multiply
   2,302x = 3,662 × 3,662
4. Step 4: Simplify right side
   2,302x = 13,410,244
5. Step 5: Solve for x
   x = 13,410,244/2,302
6. Step 6: Final answer
   x = 5,825.48