Finding the Third Proportional to 1,965.38 and 2,754.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,965.38 : 2,754.56 = 2,754.56 : x
2. Step 2: Convert to fraction form
   1,965.38/2,754.56 = 2,754.56/x
3. Step 3: Cross multiply
   1,965.38x = 2,754.56 × 2,754.56
4. Step 4: Simplify right side
   1,965.38x = 7,587,614.57
5. Step 5: Solve for x
   x = 7,587,614.57/1,965.38
6. Step 6: Final answer
   x = 3,860.64