Finding the Third Proportional to 2,433 and 3,665.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,433 : 3,665.81 = 3,665.81 : x
2. Step 2: Convert to fraction form
   2,433/3,665.81 = 3,665.81/x
3. Step 3: Cross multiply
   2,433x = 3,665.81 × 3,665.81
4. Step 4: Simplify right side
   2,433x = 13,438,181.29
5. Step 5: Solve for x
   x = 13,438,181.29/2,433
6. Step 6: Final answer
   x = 5,523.30