Finding the Third Proportional to 1,324.69 and 1,786.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,324.69 : 1,786.22 = 1,786.22 : x
2. Step 2: Convert to fraction form
   1,324.69/1,786.22 = 1,786.22/x
3. Step 3: Cross multiply
   1,324.69x = 1,786.22 × 1,786.22
4. Step 4: Simplify right side
   1,324.69x = 3,190,577.42
5. Step 5: Solve for x
   x = 3,190,577.42/1,324.69
6. Step 6: Final answer
   x = 2,408.55