Finding the Third Proportional to 33,664 and 50,288

Step by Step Solution

1. Step 1: Write the proportion equation
   33,664 : 50,288 = 50,288 : x
2. Step 2: Convert to fraction form
   33,664/50,288 = 50,288/x
3. Step 3: Cross multiply
   33,664x = 50,288 × 50,288
4. Step 4: Simplify right side
   33,664x = 2,528,882,944
5. Step 5: Solve for x
   x = 2,528,882,944/33,664
6. Step 6: Final answer
   x = 75,121.29