Finding the Third Proportional to 25,825 and 55,997

Step by Step Solution

1. Step 1: Write the proportion equation
   25,825 : 55,997 = 55,997 : x
2. Step 2: Convert to fraction form
   25,825/55,997 = 55,997/x
3. Step 3: Cross multiply
   25,825x = 55,997 × 55,997
4. Step 4: Simplify right side
   25,825x = 3,135,664,009
5. Step 5: Solve for x
   x = 3,135,664,009/25,825
6. Step 6: Final answer
   x = 121,419.71