Finding the Third Proportional to 6,537 and 8,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,537 : 8,185.50 = 8,185.50 : x
2. Step 2: Convert to fraction form
   6,537/8,185.50 = 8,185.50/x
3. Step 3: Cross multiply
   6,537x = 8,185.50 × 8,185.50
4. Step 4: Simplify right side
   6,537x = 67,002,410.25
5. Step 5: Solve for x
   x = 67,002,410.25/6,537
6. Step 6: Final answer
   x = 10,249.72