Finding the Third Proportional to 2,657.50 and 5,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.50 : 5,769.75 = 5,769.75 : x
2. Step 2: Convert to fraction form
   2,657.50/5,769.75 = 5,769.75/x
3. Step 3: Cross multiply
   2,657.50x = 5,769.75 × 5,769.75
4. Step 4: Simplify right side
   2,657.50x = 33,290,015.06
5. Step 5: Solve for x
   x = 33,290,015.06/2,657.50
6. Step 6: Final answer
   x = 12,526.82