Finding the Third Proportional to 6,920 and 16,196

Step by Step Solution

1. Step 1: Write the proportion equation
   6,920 : 16,196 = 16,196 : x
2. Step 2: Convert to fraction form
   6,920/16,196 = 16,196/x
3. Step 3: Cross multiply
   6,920x = 16,196 × 16,196
4. Step 4: Simplify right side
   6,920x = 262,310,416
5. Step 5: Solve for x
   x = 262,310,416/6,920
6. Step 6: Final answer
   x = 37,906.13