Finding the Third Proportional to 20,196 and 42,856

Step by Step Solution

1. Step 1: Write the proportion equation
   20,196 : 42,856 = 42,856 : x
2. Step 2: Convert to fraction form
   20,196/42,856 = 42,856/x
3. Step 3: Cross multiply
   20,196x = 42,856 × 42,856
4. Step 4: Simplify right side
   20,196x = 1,836,636,736
5. Step 5: Solve for x
   x = 1,836,636,736/20,196
6. Step 6: Final answer
   x = 90,940.62