Finding the Third Proportional to 25,904 and 55,582

Step by Step Solution

1. Step 1: Write the proportion equation
   25,904 : 55,582 = 55,582 : x
2. Step 2: Convert to fraction form
   25,904/55,582 = 55,582/x
3. Step 3: Cross multiply
   25,904x = 55,582 × 55,582
4. Step 4: Simplify right side
   25,904x = 3,089,358,724
5. Step 5: Solve for x
   x = 3,089,358,724/25,904
6. Step 6: Final answer
   x = 119,261.84