Finding the Third Proportional to 25,638 and 53,040

Step by Step Solution

1. Step 1: Write the proportion equation
   25,638 : 53,040 = 53,040 : x
2. Step 2: Convert to fraction form
   25,638/53,040 = 53,040/x
3. Step 3: Cross multiply
   25,638x = 53,040 × 53,040
4. Step 4: Simplify right side
   25,638x = 2,813,241,600
5. Step 5: Solve for x
   x = 2,813,241,600/25,638
6. Step 6: Final answer
   x = 109,729.37