Finding the Third Proportional to 19,693 and 42,311

Step by Step Solution

1. Step 1: Write the proportion equation
   19,693 : 42,311 = 42,311 : x
2. Step 2: Convert to fraction form
   19,693/42,311 = 42,311/x
3. Step 3: Cross multiply
   19,693x = 42,311 × 42,311
4. Step 4: Simplify right side
   19,693x = 1,790,220,721
5. Step 5: Solve for x
   x = 1,790,220,721/19,693
6. Step 6: Final answer
   x = 90,906.45