Finding the Third Proportional to 1,665 and 3,630

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665 : 3,630 = 3,630 : x
2. Step 2: Convert to fraction form
   1,665/3,630 = 3,630/x
3. Step 3: Cross multiply
   1,665x = 3,630 × 3,630
4. Step 4: Simplify right side
   1,665x = 13,176,900
5. Step 5: Solve for x
   x = 13,176,900/1,665
6. Step 6: Final answer
   x = 7,914.05