Finding the Third Proportional to 1,665.75 and 2,499

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.75 : 2,499 = 2,499 : x
2. Step 2: Convert to fraction form
   1,665.75/2,499 = 2,499/x
3. Step 3: Cross multiply
   1,665.75x = 2,499 × 2,499
4. Step 4: Simplify right side
   1,665.75x = 6,245,001
5. Step 5: Solve for x
   x = 6,245,001/1,665.75
6. Step 6: Final answer
   x = 3,749.06