Finding the Third Proportional to 1,182.23 and 2,544.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,182.23 : 2,544.89 = 2,544.89 : x
2. Step 2: Convert to fraction form
   1,182.23/2,544.89 = 2,544.89/x
3. Step 3: Cross multiply
   1,182.23x = 2,544.89 × 2,544.89
4. Step 4: Simplify right side
   1,182.23x = 6,476,468.29
5. Step 5: Solve for x
   x = 6,476,468.29/1,182.23
6. Step 6: Final answer
   x = 5,478.16