Finding the Third Proportional to 3,832 and 5,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832 : 5,917.50 = 5,917.50 : x
2. Step 2: Convert to fraction form
   3,832/5,917.50 = 5,917.50/x
3. Step 3: Cross multiply
   3,832x = 5,917.50 × 5,917.50
4. Step 4: Simplify right side
   3,832x = 35,016,806.25
5. Step 5: Solve for x
   x = 35,016,806.25/3,832
6. Step 6: Final answer
   x = 9,138.00