Finding the Third Proportional to 6,272 and 9,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,272 : 9,185.50 = 9,185.50 : x
2. Step 2: Convert to fraction form
   6,272/9,185.50 = 9,185.50/x
3. Step 3: Cross multiply
   6,272x = 9,185.50 × 9,185.50
4. Step 4: Simplify right side
   6,272x = 84,373,410.25
5. Step 5: Solve for x
   x = 84,373,410.25/6,272
6. Step 6: Final answer
   x = 13,452.39