Finding the Third Proportional to 3,920.06 and 5,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,920.06 : 5,742.56 = 5,742.56 : x
2. Step 2: Convert to fraction form
   3,920.06/5,742.56 = 5,742.56/x
3. Step 3: Cross multiply
   3,920.06x = 5,742.56 × 5,742.56
4. Step 4: Simplify right side
   3,920.06x = 32,977,024.07
5. Step 5: Solve for x
   x = 32,977,024.07/3,920.06
6. Step 6: Final answer
   x = 8,412.37