Finding the Third Proportional to 25,705 and 53,462

Step by Step Solution

1. Step 1: Write the proportion equation
   25,705 : 53,462 = 53,462 : x
2. Step 2: Convert to fraction form
   25,705/53,462 = 53,462/x
3. Step 3: Cross multiply
   25,705x = 53,462 × 53,462
4. Step 4: Simplify right side
   25,705x = 2,858,185,444
5. Step 5: Solve for x
   x = 2,858,185,444/25,705
6. Step 6: Final answer
   x = 111,191.81