Finding the Third Proportional to 6,326.25 and 10,164.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,326.25 : 10,164.38 = 10,164.38 : x
2. Step 2: Convert to fraction form
   6,326.25/10,164.38 = 10,164.38/x
3. Step 3: Cross multiply
   6,326.25x = 10,164.38 × 10,164.38
4. Step 4: Simplify right side
   6,326.25x = 103,314,519.14
5. Step 5: Solve for x
   x = 103,314,519.14/6,326.25
6. Step 6: Final answer
   x = 16,331.08