Finding the Third Proportional to 665.38 and 1,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   665.38 : 1,447.50 = 1,447.50 : x
2. Step 2: Convert to fraction form
   665.38/1,447.50 = 1,447.50/x
3. Step 3: Cross multiply
   665.38x = 1,447.50 × 1,447.50
4. Step 4: Simplify right side
   665.38x = 2,095,256.25
5. Step 5: Solve for x
   x = 2,095,256.25/665.38
6. Step 6: Final answer
   x = 3,148.99