Finding the Third Proportional to 3,832.50 and 5,993.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832.50 : 5,993.25 = 5,993.25 : x
2. Step 2: Convert to fraction form
   3,832.50/5,993.25 = 5,993.25/x
3. Step 3: Cross multiply
   3,832.50x = 5,993.25 × 5,993.25
4. Step 4: Simplify right side
   3,832.50x = 35,919,045.56
5. Step 5: Solve for x
   x = 35,919,045.56/3,832.50
6. Step 6: Final answer
   x = 9,372.22