Finding the Third Proportional to 33,686 and 52,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,686 : 52,848 = 52,848 : x
2. Step 2: Convert to fraction form
   33,686/52,848 = 52,848/x
3. Step 3: Cross multiply
   33,686x = 52,848 × 52,848
4. Step 4: Simplify right side
   33,686x = 2,792,911,104
5. Step 5: Solve for x
   x = 2,792,911,104/33,686
6. Step 6: Final answer
   x = 82,910.14