Finding the Third Proportional to 2,629.69 and 5,669.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,629.69 : 5,669.44 = 5,669.44 : x
2. Step 2: Convert to fraction form
   2,629.69/5,669.44 = 5,669.44/x
3. Step 3: Cross multiply
   2,629.69x = 5,669.44 × 5,669.44
4. Step 4: Simplify right side
   2,629.69x = 32,142,521.57
5. Step 5: Solve for x
   x = 32,142,521.57/2,629.69
6. Step 6: Final answer
   x = 12,222.94