Finding the Third Proportional to 1,193.48 and 1,603.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,193.48 : 1,603.55 = 1,603.55 : x
2. Step 2: Convert to fraction form
   1,193.48/1,603.55 = 1,603.55/x
3. Step 3: Cross multiply
   1,193.48x = 1,603.55 × 1,603.55
4. Step 4: Simplify right side
   1,193.48x = 2,571,362.58
5. Step 5: Solve for x
   x = 2,571,362.58/1,193.48
6. Step 6: Final answer
   x = 2,154.50