Finding the Third Proportional to 1,581.66 and 2,401.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,581.66 : 2,401.03 = 2,401.03 : x
2. Step 2: Convert to fraction form
   1,581.66/2,401.03 = 2,401.03/x
3. Step 3: Cross multiply
   1,581.66x = 2,401.03 × 2,401.03
4. Step 4: Simplify right side
   1,581.66x = 5,764,951.06
5. Step 5: Solve for x
   x = 5,764,951.06/1,581.66
6. Step 6: Final answer
   x = 3,644.88