Finding the Third Proportional to 1,003.88 and 2,418.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.88 : 2,418.13 = 2,418.13 : x
2. Step 2: Convert to fraction form
   1,003.88/2,418.13 = 2,418.13/x
3. Step 3: Cross multiply
   1,003.88x = 2,418.13 × 2,418.13
4. Step 4: Simplify right side
   1,003.88x = 5,847,328.52
5. Step 5: Solve for x
   x = 5,847,328.52/1,003.88
6. Step 6: Final answer
   x = 5,824.76