Finding the Third Proportional to 6,165 and 8,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,165 : 8,041.50 = 8,041.50 : x
2. Step 2: Convert to fraction form
   6,165/8,041.50 = 8,041.50/x
3. Step 3: Cross multiply
   6,165x = 8,041.50 × 8,041.50
4. Step 4: Simplify right side
   6,165x = 64,665,722.25
5. Step 5: Solve for x
   x = 64,665,722.25/6,165
6. Step 6: Final answer
   x = 10,489.17