Finding the Third Proportional to 23,826 and 55,179

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 55,179 = 55,179 : x
2. Step 2: Convert to fraction form
   23,826/55,179 = 55,179/x
3. Step 3: Cross multiply
   23,826x = 55,179 × 55,179
4. Step 4: Simplify right side
   23,826x = 3,044,722,041
5. Step 5: Solve for x
   x = 3,044,722,041/23,826
6. Step 6: Final answer
   x = 127,789.90