Finding the Third Proportional to 6,131.75 and 9,216.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,131.75 : 9,216.38 = 9,216.38 : x
2. Step 2: Convert to fraction form
   6,131.75/9,216.38 = 9,216.38/x
3. Step 3: Cross multiply
   6,131.75x = 9,216.38 × 9,216.38
4. Step 4: Simplify right side
   6,131.75x = 84,941,568.14
5. Step 5: Solve for x
   x = 84,941,568.14/6,131.75
6. Step 6: Final answer
   x = 13,852.74