Finding the Third Proportional to 2,422.69 and 3,682.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422.69 : 3,682.69 = 3,682.69 : x
2. Step 2: Convert to fraction form
   2,422.69/3,682.69 = 3,682.69/x
3. Step 3: Cross multiply
   2,422.69x = 3,682.69 × 3,682.69
4. Step 4: Simplify right side
   2,422.69x = 13,562,187.22
5. Step 5: Solve for x
   x = 13,562,187.22/2,422.69
6. Step 6: Final answer
   x = 5,597.99