Finding the Third Proportional to 6,872.82 and 10,072.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,872.82 : 10,072.16 = 10,072.16 : x
2. Step 2: Convert to fraction form
   6,872.82/10,072.16 = 10,072.16/x
3. Step 3: Cross multiply
   6,872.82x = 10,072.16 × 10,072.16
4. Step 4: Simplify right side
   6,872.82x = 101,448,410.21
5. Step 5: Solve for x
   x = 101,448,410.21/6,872.82
6. Step 6: Final answer
   x = 14,760.82