Finding the Third Proportional to 8,178 and 12,834

Step by Step Solution

1. Step 1: Write the proportion equation
   8,178 : 12,834 = 12,834 : x
2. Step 2: Convert to fraction form
   8,178/12,834 = 12,834/x
3. Step 3: Cross multiply
   8,178x = 12,834 × 12,834
4. Step 4: Simplify right side
   8,178x = 164,711,556
5. Step 5: Solve for x
   x = 164,711,556/8,178
6. Step 6: Final answer
   x = 20,140.81