Finding the Third Proportional to 2,383 and 3,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,383 : 3,665.75 = 3,665.75 : x
2. Step 2: Convert to fraction form
   2,383/3,665.75 = 3,665.75/x
3. Step 3: Cross multiply
   2,383x = 3,665.75 × 3,665.75
4. Step 4: Simplify right side
   2,383x = 13,437,723.06
5. Step 5: Solve for x
   x = 13,437,723.06/2,383
6. Step 6: Final answer
   x = 5,638.99