Finding the Third Proportional to 19,689 and 42,834

Step by Step Solution

1. Step 1: Write the proportion equation
   19,689 : 42,834 = 42,834 : x
2. Step 2: Convert to fraction form
   19,689/42,834 = 42,834/x
3. Step 3: Cross multiply
   19,689x = 42,834 × 42,834
4. Step 4: Simplify right side
   19,689x = 1,834,751,556
5. Step 5: Solve for x
   x = 1,834,751,556/19,689
6. Step 6: Final answer
   x = 93,186.63