Finding the Third Proportional to 10,196 and 21,896

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 21,896 = 21,896 : x
2. Step 2: Convert to fraction form
   10,196/21,896 = 21,896/x
3. Step 3: Cross multiply
   10,196x = 21,896 × 21,896
4. Step 4: Simplify right side
   10,196x = 479,434,816
5. Step 5: Solve for x
   x = 479,434,816/10,196
6. Step 6: Final answer
   x = 47,021.85