Finding the Third Proportional to 669.89 and 1,442.48

Step by Step Solution

1. Step 1: Write the proportion equation
   669.89 : 1,442.48 = 1,442.48 : x
2. Step 2: Convert to fraction form
   669.89/1,442.48 = 1,442.48/x
3. Step 3: Cross multiply
   669.89x = 1,442.48 × 1,442.48
4. Step 4: Simplify right side
   669.89x = 2,080,761.17
5. Step 5: Solve for x
   x = 2,080,761.17/669.89
6. Step 6: Final answer
   x = 3,106.12