Finding the Third Proportional to 25,641 and 55,170

Step by Step Solution

1. Step 1: Write the proportion equation
   25,641 : 55,170 = 55,170 : x
2. Step 2: Convert to fraction form
   25,641/55,170 = 55,170/x
3. Step 3: Cross multiply
   25,641x = 55,170 × 55,170
4. Step 4: Simplify right side
   25,641x = 3,043,728,900
5. Step 5: Solve for x
   x = 3,043,728,900/25,641
6. Step 6: Final answer
   x = 118,705.55