Finding the Third Proportional to 20,028 and 42,644

Step by Step Solution

1. Step 1: Write the proportion equation
   20,028 : 42,644 = 42,644 : x
2. Step 2: Convert to fraction form
   20,028/42,644 = 42,644/x
3. Step 3: Cross multiply
   20,028x = 42,644 × 42,644
4. Step 4: Simplify right side
   20,028x = 1,818,510,736
5. Step 5: Solve for x
   x = 1,818,510,736/20,028
6. Step 6: Final answer
   x = 90,798.42