Finding the Third Proportional to 25,864 and 55,858

Step by Step Solution

1. Step 1: Write the proportion equation
   25,864 : 55,858 = 55,858 : x
2. Step 2: Convert to fraction form
   25,864/55,858 = 55,858/x
3. Step 3: Cross multiply
   25,864x = 55,858 × 55,858
4. Step 4: Simplify right side
   25,864x = 3,120,116,164
5. Step 5: Solve for x
   x = 3,120,116,164/25,864
6. Step 6: Final answer
   x = 120,635.48