Finding the Third Proportional to 2,083.22 and 2,242.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.22 : 2,242.69 = 2,242.69 : x
2. Step 2: Convert to fraction form
   2,083.22/2,242.69 = 2,242.69/x
3. Step 3: Cross multiply
   2,083.22x = 2,242.69 × 2,242.69
4. Step 4: Simplify right side
   2,083.22x = 5,029,647.22
5. Step 5: Solve for x
   x = 5,029,647.22/2,083.22
6. Step 6: Final answer
   x = 2,414.36