Finding the Third Proportional to 25,856 and 55,838

Step by Step Solution

1. Step 1: Write the proportion equation
   25,856 : 55,838 = 55,838 : x
2. Step 2: Convert to fraction form
   25,856/55,838 = 55,838/x
3. Step 3: Cross multiply
   25,856x = 55,838 × 55,838
4. Step 4: Simplify right side
   25,856x = 3,117,882,244
5. Step 5: Solve for x
   x = 3,117,882,244/25,856
6. Step 6: Final answer
   x = 120,586.41