Finding the Third Proportional to 19,580 and 42,689

Step by Step Solution

1. Step 1: Write the proportion equation
   19,580 : 42,689 = 42,689 : x
2. Step 2: Convert to fraction form
   19,580/42,689 = 42,689/x
3. Step 3: Cross multiply
   19,580x = 42,689 × 42,689
4. Step 4: Simplify right side
   19,580x = 1,822,350,721
5. Step 5: Solve for x
   x = 1,822,350,721/19,580
6. Step 6: Final answer
   x = 93,072.05