Finding the Third Proportional to 2,377.69 and 2,644.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 2,644.31 = 2,644.31 : x
2. Step 2: Convert to fraction form
   2,377.69/2,644.31 = 2,644.31/x
3. Step 3: Cross multiply
   2,377.69x = 2,644.31 × 2,644.31
4. Step 4: Simplify right side
   2,377.69x = 6,992,388.60
5. Step 5: Solve for x
   x = 6,992,388.60/2,377.69
6. Step 6: Final answer
   x = 2,940.84