Finding the Third Proportional to 2,625.75 and 5,769.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.75 : 5,769.56 = 5,769.56 : x
2. Step 2: Convert to fraction form
   2,625.75/5,769.56 = 5,769.56/x
3. Step 3: Cross multiply
   2,625.75x = 5,769.56 × 5,769.56
4. Step 4: Simplify right side
   2,625.75x = 33,287,851.44
5. Step 5: Solve for x
   x = 33,287,851.44/2,625.75
6. Step 6: Final answer
   x = 12,677.46