Finding the Third Proportional to 33,185 and 51,384

Step by Step Solution

1. Step 1: Write the proportion equation
   33,185 : 51,384 = 51,384 : x
2. Step 2: Convert to fraction form
   33,185/51,384 = 51,384/x
3. Step 3: Cross multiply
   33,185x = 51,384 × 51,384
4. Step 4: Simplify right side
   33,185x = 2,640,315,456
5. Step 5: Solve for x
   x = 2,640,315,456/33,185
6. Step 6: Final answer
   x = 79,563.52