Finding the Third Proportional to 3,832 and 5,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832 : 5,424.50 = 5,424.50 : x
2. Step 2: Convert to fraction form
   3,832/5,424.50 = 5,424.50/x
3. Step 3: Cross multiply
   3,832x = 5,424.50 × 5,424.50
4. Step 4: Simplify right side
   3,832x = 29,425,200.25
5. Step 5: Solve for x
   x = 29,425,200.25/3,832
6. Step 6: Final answer
   x = 7,678.81