Finding the Third Proportional to 5,832 and 10,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,832 : 10,165.50 = 10,165.50 : x
2. Step 2: Convert to fraction form
   5,832/10,165.50 = 10,165.50/x
3. Step 3: Cross multiply
   5,832x = 10,165.50 × 10,165.50
4. Step 4: Simplify right side
   5,832x = 103,337,390.25
5. Step 5: Solve for x
   x = 103,337,390.25/5,832
6. Step 6: Final answer
   x = 17,719.03