Finding the Third Proportional to 1,098.38 and 1,745.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,098.38 : 1,745.25 = 1,745.25 : x
2. Step 2: Convert to fraction form
   1,098.38/1,745.25 = 1,745.25/x
3. Step 3: Cross multiply
   1,098.38x = 1,745.25 × 1,745.25
4. Step 4: Simplify right side
   1,098.38x = 3,045,897.56
5. Step 5: Solve for x
   x = 3,045,897.56/1,098.38
6. Step 6: Final answer
   x = 2,773.09