Finding the Third Proportional to 6,822 and 16,078

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822 : 16,078 = 16,078 : x
2. Step 2: Convert to fraction form
   6,822/16,078 = 16,078/x
3. Step 3: Cross multiply
   6,822x = 16,078 × 16,078
4. Step 4: Simplify right side
   6,822x = 258,502,084
5. Step 5: Solve for x
   x = 258,502,084/6,822
6. Step 6: Final answer
   x = 37,892.42