Finding the Third Proportional to 1,026.42 and 1,603.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.42 : 1,603.86 = 1,603.86 : x
2. Step 2: Convert to fraction form
   1,026.42/1,603.86 = 1,603.86/x
3. Step 3: Cross multiply
   1,026.42x = 1,603.86 × 1,603.86
4. Step 4: Simplify right side
   1,026.42x = 2,572,377.42
5. Step 5: Solve for x
   x = 2,572,377.42/1,026.42
6. Step 6: Final answer
   x = 2,506.16