Finding the Third Proportional to 6,816.25 and 10,872.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816.25 : 10,872.38 = 10,872.38 : x
2. Step 2: Convert to fraction form
   6,816.25/10,872.38 = 10,872.38/x
3. Step 3: Cross multiply
   6,816.25x = 10,872.38 × 10,872.38
4. Step 4: Simplify right side
   6,816.25x = 118,208,538.14
5. Step 5: Solve for x
   x = 118,208,538.14/6,816.25
6. Step 6: Final answer
   x = 17,342.17