Finding the Third Proportional to 1,665 and 3,638.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665 : 3,638.25 = 3,638.25 : x
2. Step 2: Convert to fraction form
   1,665/3,638.25 = 3,638.25/x
3. Step 3: Cross multiply
   1,665x = 3,638.25 × 3,638.25
4. Step 4: Simplify right side
   1,665x = 13,236,863.06
5. Step 5: Solve for x
   x = 13,236,863.06/1,665
6. Step 6: Final answer
   x = 7,950.07