Finding the Third Proportional to 16,142 and 34,834

Step by Step Solution

1. Step 1: Write the proportion equation
   16,142 : 34,834 = 34,834 : x
2. Step 2: Convert to fraction form
   16,142/34,834 = 34,834/x
3. Step 3: Cross multiply
   16,142x = 34,834 × 34,834
4. Step 4: Simplify right side
   16,142x = 1,213,407,556
5. Step 5: Solve for x
   x = 1,213,407,556/16,142
6. Step 6: Final answer
   x = 75,170.83