Finding the Third Proportional to 3,832.88 and 5,535.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832.88 : 5,535.56 = 5,535.56 : x
2. Step 2: Convert to fraction form
   3,832.88/5,535.56 = 5,535.56/x
3. Step 3: Cross multiply
   3,832.88x = 5,535.56 × 5,535.56
4. Step 4: Simplify right side
   3,832.88x = 30,642,452.19
5. Step 5: Solve for x
   x = 30,642,452.19/3,832.88
6. Step 6: Final answer
   x = 7,994.64