Finding the Third Proportional to 21,178 and 41,825

Step by Step Solution

1. Step 1: Write the proportion equation
   21,178 : 41,825 = 41,825 : x
2. Step 2: Convert to fraction form
   21,178/41,825 = 41,825/x
3. Step 3: Cross multiply
   21,178x = 41,825 × 41,825
4. Step 4: Simplify right side
   21,178x = 1,749,330,625
5. Step 5: Solve for x
   x = 1,749,330,625/21,178
6. Step 6: Final answer
   x = 82,601.31