Finding the Third Proportional to 6,962.44 and 10,786.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,962.44 : 10,786.06 = 10,786.06 : x
2. Step 2: Convert to fraction form
   6,962.44/10,786.06 = 10,786.06/x
3. Step 3: Cross multiply
   6,962.44x = 10,786.06 × 10,786.06
4. Step 4: Simplify right side
   6,962.44x = 116,339,144.25
5. Step 5: Solve for x
   x = 116,339,144.25/6,962.44
6. Step 6: Final answer
   x = 16,709.54