Finding the Third Proportional to 21,696 and 33,184

Step by Step Solution

1. Step 1: Write the proportion equation
   21,696 : 33,184 = 33,184 : x
2. Step 2: Convert to fraction form
   21,696/33,184 = 33,184/x
3. Step 3: Cross multiply
   21,696x = 33,184 × 33,184
4. Step 4: Simplify right side
   21,696x = 1,101,177,856
5. Step 5: Solve for x
   x = 1,101,177,856/21,696
6. Step 6: Final answer
   x = 50,754.88