Finding the Third Proportional to 25,842 and 55,628

Step by Step Solution

1. Step 1: Write the proportion equation
   25,842 : 55,628 = 55,628 : x
2. Step 2: Convert to fraction form
   25,842/55,628 = 55,628/x
3. Step 3: Cross multiply
   25,842x = 55,628 × 55,628
4. Step 4: Simplify right side
   25,842x = 3,094,474,384
5. Step 5: Solve for x
   x = 3,094,474,384/25,842
6. Step 6: Final answer
   x = 119,745.93