Finding the Third Proportional to 2,026 and 3,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026 : 3,662 = 3,662 : x
2. Step 2: Convert to fraction form
   2,026/3,662 = 3,662/x
3. Step 3: Cross multiply
   2,026x = 3,662 × 3,662
4. Step 4: Simplify right side
   2,026x = 13,410,244
5. Step 5: Solve for x
   x = 13,410,244/2,026
6. Step 6: Final answer
   x = 6,619.07