Finding the Third Proportional to 25,878 and 55,968

Step by Step Solution

1. Step 1: Write the proportion equation
   25,878 : 55,968 = 55,968 : x
2. Step 2: Convert to fraction form
   25,878/55,968 = 55,968/x
3. Step 3: Cross multiply
   25,878x = 55,968 × 55,968
4. Step 4: Simplify right side
   25,878x = 3,132,417,024
5. Step 5: Solve for x
   x = 3,132,417,024/25,878
6. Step 6: Final answer
   x = 121,045.56