Finding the Third Proportional to 20,152 and 41,323

Step by Step Solution

1. Step 1: Write the proportion equation
   20,152 : 41,323 = 41,323 : x
2. Step 2: Convert to fraction form
   20,152/41,323 = 41,323/x
3. Step 3: Cross multiply
   20,152x = 41,323 × 41,323
4. Step 4: Simplify right side
   20,152x = 1,707,590,329
5. Step 5: Solve for x
   x = 1,707,590,329/20,152
6. Step 6: Final answer
   x = 84,735.53