Finding the Third Proportional to 1,603.57 and 2,398.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,603.57 : 2,398.94 = 2,398.94 : x
2. Step 2: Convert to fraction form
   1,603.57/2,398.94 = 2,398.94/x
3. Step 3: Cross multiply
   1,603.57x = 2,398.94 × 2,398.94
4. Step 4: Simplify right side
   1,603.57x = 5,754,910.50
5. Step 5: Solve for x
   x = 5,754,910.50/1,603.57
6. Step 6: Final answer
   x = 3,588.80