Finding the Third Proportional to 1,137.38 and 1,798.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.38 : 1,798.88 = 1,798.88 : x
2. Step 2: Convert to fraction form
   1,137.38/1,798.88 = 1,798.88/x
3. Step 3: Cross multiply
   1,137.38x = 1,798.88 × 1,798.88
4. Step 4: Simplify right side
   1,137.38x = 3,235,951.27
5. Step 5: Solve for x
   x = 3,235,951.27/1,137.38
6. Step 6: Final answer
   x = 2,845.10