Finding the Third Proportional to 14,178 and 20,834

Step by Step Solution

1. Step 1: Write the proportion equation
   14,178 : 20,834 = 20,834 : x
2. Step 2: Convert to fraction form
   14,178/20,834 = 20,834/x
3. Step 3: Cross multiply
   14,178x = 20,834 × 20,834
4. Step 4: Simplify right side
   14,178x = 434,055,556
5. Step 5: Solve for x
   x = 434,055,556/14,178
6. Step 6: Final answer
   x = 30,614.72