Finding the Third Proportional to 19,802 and 42,723

Step by Step Solution

1. Step 1: Write the proportion equation
   19,802 : 42,723 = 42,723 : x
2. Step 2: Convert to fraction form
   19,802/42,723 = 42,723/x
3. Step 3: Cross multiply
   19,802x = 42,723 × 42,723
4. Step 4: Simplify right side
   19,802x = 1,825,254,729
5. Step 5: Solve for x
   x = 1,825,254,729/19,802
6. Step 6: Final answer
   x = 92,175.27