Finding the Third Proportional to 25,850 and 55,826

Step by Step Solution

1. Step 1: Write the proportion equation
   25,850 : 55,826 = 55,826 : x
2. Step 2: Convert to fraction form
   25,850/55,826 = 55,826/x
3. Step 3: Cross multiply
   25,850x = 55,826 × 55,826
4. Step 4: Simplify right side
   25,850x = 3,116,542,276
5. Step 5: Solve for x
   x = 3,116,542,276/25,850
6. Step 6: Final answer
   x = 120,562.56