Finding the Third Proportional to 19,742 and 42,296

Step by Step Solution

1. Step 1: Write the proportion equation
   19,742 : 42,296 = 42,296 : x
2. Step 2: Convert to fraction form
   19,742/42,296 = 42,296/x
3. Step 3: Cross multiply
   19,742x = 42,296 × 42,296
4. Step 4: Simplify right side
   19,742x = 1,788,951,616
5. Step 5: Solve for x
   x = 1,788,951,616/19,742
6. Step 6: Final answer
   x = 90,616.53