Finding the Third Proportional to 2,569.22 and 3,852.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.22 : 3,852.56 = 3,852.56 : x
2. Step 2: Convert to fraction form
   2,569.22/3,852.56 = 3,852.56/x
3. Step 3: Cross multiply
   2,569.22x = 3,852.56 × 3,852.56
4. Step 4: Simplify right side
   2,569.22x = 14,842,237.82
5. Step 5: Solve for x
   x = 14,842,237.82/2,569.22
6. Step 6: Final answer
   x = 5,776.95