Finding the Third Proportional to 1,644.75 and 2,349.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,644.75 : 2,349.56 = 2,349.56 : x
2. Step 2: Convert to fraction form
   1,644.75/2,349.56 = 2,349.56/x
3. Step 3: Cross multiply
   1,644.75x = 2,349.56 × 2,349.56
4. Step 4: Simplify right side
   1,644.75x = 5,520,443.94
5. Step 5: Solve for x
   x = 5,520,443.94/1,644.75
6. Step 6: Final answer
   x = 3,356.40