Finding the Third Proportional to 2,643.47 and 5,742.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.47 : 5,742.42 = 5,742.42 : x
2. Step 2: Convert to fraction form
   2,643.47/5,742.42 = 5,742.42/x
3. Step 3: Cross multiply
   2,643.47x = 5,742.42 × 5,742.42
4. Step 4: Simplify right side
   2,643.47x = 32,975,408.99
5. Step 5: Solve for x
   x = 32,975,408.99/2,643.47
6. Step 6: Final answer
   x = 12,474.29