Finding the Third Proportional to 19,638 and 42,731

Step by Step Solution

1. Step 1: Write the proportion equation
   19,638 : 42,731 = 42,731 : x
2. Step 2: Convert to fraction form
   19,638/42,731 = 42,731/x
3. Step 3: Cross multiply
   19,638x = 42,731 × 42,731
4. Step 4: Simplify right side
   19,638x = 1,825,938,361
5. Step 5: Solve for x
   x = 1,825,938,361/19,638
6. Step 6: Final answer
   x = 92,979.85