Finding the Third Proportional to 1,195.75 and 1,603.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,195.75 : 1,603.69 = 1,603.69 : x
2. Step 2: Convert to fraction form
   1,195.75/1,603.69 = 1,603.69/x
3. Step 3: Cross multiply
   1,195.75x = 1,603.69 × 1,603.69
4. Step 4: Simplify right side
   1,195.75x = 2,571,813.60
5. Step 5: Solve for x
   x = 2,571,813.60/1,195.75
6. Step 6: Final answer
   x = 2,150.80