Finding the Third Proportional to 19,729 and 42,740

Step by Step Solution

1. Step 1: Write the proportion equation
   19,729 : 42,740 = 42,740 : x
2. Step 2: Convert to fraction form
   19,729/42,740 = 42,740/x
3. Step 3: Cross multiply
   19,729x = 42,740 × 42,740
4. Step 4: Simplify right side
   19,729x = 1,826,707,600
5. Step 5: Solve for x
   x = 1,826,707,600/19,729
6. Step 6: Final answer
   x = 92,589.97