Finding the Third Proportional to 1,665.28 and 2,486.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.28 : 2,486.48 = 2,486.48 : x
2. Step 2: Convert to fraction form
   1,665.28/2,486.48 = 2,486.48/x
3. Step 3: Cross multiply
   1,665.28x = 2,486.48 × 2,486.48
4. Step 4: Simplify right side
   1,665.28x = 6,182,604.55
5. Step 5: Solve for x
   x = 6,182,604.55/1,665.28
6. Step 6: Final answer
   x = 3,712.65