Finding the Third Proportional to 1,002.75 and 2,118.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.75 : 2,118.38 = 2,118.38 : x
2. Step 2: Convert to fraction form
   1,002.75/2,118.38 = 2,118.38/x
3. Step 3: Cross multiply
   1,002.75x = 2,118.38 × 2,118.38
4. Step 4: Simplify right side
   1,002.75x = 4,487,512.64
5. Step 5: Solve for x
   x = 4,487,512.64/1,002.75
6. Step 6: Final answer
   x = 4,475.21