Finding the Third Proportional to 21,179.25 and 41,823

Step by Step Solution

1. Step 1: Write the proportion equation
   21,179.25 : 41,823 = 41,823 : x
2. Step 2: Convert to fraction form
   21,179.25/41,823 = 41,823/x
3. Step 3: Cross multiply
   21,179.25x = 41,823 × 41,823
4. Step 4: Simplify right side
   21,179.25x = 1,749,163,329
5. Step 5: Solve for x
   x = 1,749,163,329/21,179.25
6. Step 6: Final answer
   x = 82,588.54