Finding the Third Proportional to 33,648 and 48,456

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 48,456 = 48,456 : x
2. Step 2: Convert to fraction form
   33,648/48,456 = 48,456/x
3. Step 3: Cross multiply
   33,648x = 48,456 × 48,456
4. Step 4: Simplify right side
   33,648x = 2,347,983,936
5. Step 5: Solve for x
   x = 2,347,983,936/33,648
6. Step 6: Final answer
   x = 69,780.79