Finding the Third Proportional to 1,644 and 2,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644 : 2,401.50 = 2,401.50 : x
2. Step 2: Convert to fraction form
   1,644/2,401.50 = 2,401.50/x
3. Step 3: Cross multiply
   1,644x = 2,401.50 × 2,401.50
4. Step 4: Simplify right side
   1,644x = 5,767,202.25
5. Step 5: Solve for x
   x = 5,767,202.25/1,644
6. Step 6: Final answer
   x = 3,508.03