Finding the Third Proportional to 33,384 and 51,096

Step by Step Solution

1. Step 1: Write the proportion equation
   33,384 : 51,096 = 51,096 : x
2. Step 2: Convert to fraction form
   33,384/51,096 = 51,096/x
3. Step 3: Cross multiply
   33,384x = 51,096 × 51,096
4. Step 4: Simplify right side
   33,384x = 2,610,801,216
5. Step 5: Solve for x
   x = 2,610,801,216/33,384
6. Step 6: Final answer
   x = 78,205.16