Finding the Third Proportional to 12,846 and 18,822

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846 : 18,822 = 18,822 : x
2. Step 2: Convert to fraction form
   12,846/18,822 = 18,822/x
3. Step 3: Cross multiply
   12,846x = 18,822 × 18,822
4. Step 4: Simplify right side
   12,846x = 354,267,684
5. Step 5: Solve for x
   x = 354,267,684/12,846
6. Step 6: Final answer
   x = 27,578.05