Finding the Third Proportional to 25,540 and 52,848

Step by Step Solution

1. Step 1: Write the proportion equation
   25,540 : 52,848 = 52,848 : x
2. Step 2: Convert to fraction form
   25,540/52,848 = 52,848/x
3. Step 3: Cross multiply
   25,540x = 52,848 × 52,848
4. Step 4: Simplify right side
   25,540x = 2,792,911,104
5. Step 5: Solve for x
   x = 2,792,911,104/25,540
6. Step 6: Final answer
   x = 109,354.39