Finding the Third Proportional to 3,637.88 and 5,769.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,637.88 : 5,769.38 = 5,769.38 : x
2. Step 2: Convert to fraction form
   3,637.88/5,769.38 = 5,769.38/x
3. Step 3: Cross multiply
   3,637.88x = 5,769.38 × 5,769.38
4. Step 4: Simplify right side
   3,637.88x = 33,285,687.89
5. Step 5: Solve for x
   x = 33,285,687.89/3,637.88
6. Step 6: Final answer
   x = 9,149.76