Finding the Third Proportional to 20,154 and 41,320

Step by Step Solution

1. Step 1: Write the proportion equation
   20,154 : 41,320 = 41,320 : x
2. Step 2: Convert to fraction form
   20,154/41,320 = 41,320/x
3. Step 3: Cross multiply
   20,154x = 41,320 × 41,320
4. Step 4: Simplify right side
   20,154x = 1,707,342,400
5. Step 5: Solve for x
   x = 1,707,342,400/20,154
6. Step 6: Final answer
   x = 84,714.82