Finding the Third Proportional to 2,742.47 and 3,908.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,742.47 : 3,908.53 = 3,908.53 : x
2. Step 2: Convert to fraction form
   2,742.47/3,908.53 = 3,908.53/x
3. Step 3: Cross multiply
   2,742.47x = 3,908.53 × 3,908.53
4. Step 4: Simplify right side
   2,742.47x = 15,276,616.53
5. Step 5: Solve for x
   x = 15,276,616.53/2,742.47
6. Step 6: Final answer
   x = 5,570.39