Finding the Third Proportional to 5,769.75 and 12,581.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769.75 : 12,581.25 = 12,581.25 : x
2. Step 2: Convert to fraction form
   5,769.75/12,581.25 = 12,581.25/x
3. Step 3: Cross multiply
   5,769.75x = 12,581.25 × 12,581.25
4. Step 4: Simplify right side
   5,769.75x = 158,287,851.56
5. Step 5: Solve for x
   x = 158,287,851.56/5,769.75
6. Step 6: Final answer
   x = 27,434.09