Finding the Third Proportional to 21,536 and 33,116

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 33,116 = 33,116 : x
2. Step 2: Convert to fraction form
   21,536/33,116 = 33,116/x
3. Step 3: Cross multiply
   21,536x = 33,116 × 33,116
4. Step 4: Simplify right side
   21,536x = 1,096,669,456
5. Step 5: Solve for x
   x = 1,096,669,456/21,536
6. Step 6: Final answer
   x = 50,922.62