Finding the Third Proportional to 7,834 and 16,736

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 16,736 = 16,736 : x
2. Step 2: Convert to fraction form
   7,834/16,736 = 16,736/x
3. Step 3: Cross multiply
   7,834x = 16,736 × 16,736
4. Step 4: Simplify right side
   7,834x = 280,093,696
5. Step 5: Solve for x
   x = 280,093,696/7,834
6. Step 6: Final answer
   x = 35,753.60