Finding the Third Proportional to 1,078.50 and 2,354.44

Step by Step Solution

1. Step 1: Write the proportion equation
   1,078.50 : 2,354.44 = 2,354.44 : x
2. Step 2: Convert to fraction form
   1,078.50/2,354.44 = 2,354.44/x
3. Step 3: Cross multiply
   1,078.50x = 2,354.44 × 2,354.44
4. Step 4: Simplify right side
   1,078.50x = 5,543,375.94
5. Step 5: Solve for x
   x = 5,543,375.94/1,078.50
6. Step 6: Final answer
   x = 5,139.89