Finding the Third Proportional to 1,118.63 and 2,589.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,118.63 : 2,589.38 = 2,589.38 : x
2. Step 2: Convert to fraction form
   1,118.63/2,589.38 = 2,589.38/x
3. Step 3: Cross multiply
   1,118.63x = 2,589.38 × 2,589.38
4. Step 4: Simplify right side
   1,118.63x = 6,704,862.89
5. Step 5: Solve for x
   x = 6,704,862.89/1,118.63
6. Step 6: Final answer
   x = 5,993.84