Finding the Third Proportional to 25,858 and 53,636

Step by Step Solution

1. Step 1: Write the proportion equation
   25,858 : 53,636 = 53,636 : x
2. Step 2: Convert to fraction form
   25,858/53,636 = 53,636/x
3. Step 3: Cross multiply
   25,858x = 53,636 × 53,636
4. Step 4: Simplify right side
   25,858x = 2,876,820,496
5. Step 5: Solve for x
   x = 2,876,820,496/25,858
6. Step 6: Final answer
   x = 111,254.56