Finding the Third Proportional to 19,423 and 41,678

Step by Step Solution

1. Step 1: Write the proportion equation
   19,423 : 41,678 = 41,678 : x
2. Step 2: Convert to fraction form
   19,423/41,678 = 41,678/x
3. Step 3: Cross multiply
   19,423x = 41,678 × 41,678
4. Step 4: Simplify right side
   19,423x = 1,737,055,684
5. Step 5: Solve for x
   x = 1,737,055,684/19,423
6. Step 6: Final answer
   x = 89,432.92