Finding the Third Proportional to 19,636 and 42,727

Step by Step Solution

1. Step 1: Write the proportion equation
   19,636 : 42,727 = 42,727 : x
2. Step 2: Convert to fraction form
   19,636/42,727 = 42,727/x
3. Step 3: Cross multiply
   19,636x = 42,727 × 42,727
4. Step 4: Simplify right side
   19,636x = 1,825,596,529
5. Step 5: Solve for x
   x = 1,825,596,529/19,636
6. Step 6: Final answer
   x = 92,971.92