Finding the Third Proportional to 1,137.75 and 2,319.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.75 : 2,319.38 = 2,319.38 : x
2. Step 2: Convert to fraction form
   1,137.75/2,319.38 = 2,319.38/x
3. Step 3: Cross multiply
   1,137.75x = 2,319.38 × 2,319.38
4. Step 4: Simplify right side
   1,137.75x = 5,379,500.39
5. Step 5: Solve for x
   x = 5,379,500.39/1,137.75
6. Step 6: Final answer
   x = 4,728.19