Finding the Third Proportional to 10,196 and 20,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 20,896 = 20,896 : x
2. Step 2: Convert to fraction form
   10,196/20,896 = 20,896/x
3. Step 3: Cross multiply
   10,196x = 20,896 × 20,896
4. Step 4: Simplify right side
   10,196x = 436,642,816
5. Step 5: Solve for x
   x = 436,642,816/10,196
6. Step 6: Final answer
   x = 42,824.91