Finding the Third Proportional to 2,569.22 and 3,669.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.22 : 3,669.05 = 3,669.05 : x
2. Step 2: Convert to fraction form
   2,569.22/3,669.05 = 3,669.05/x
3. Step 3: Cross multiply
   2,569.22x = 3,669.05 × 3,669.05
4. Step 4: Simplify right side
   2,569.22x = 13,461,904.97
5. Step 5: Solve for x
   x = 13,461,904.97/2,569.22
6. Step 6: Final answer
   x = 5,239.69