Finding the Third Proportional to 20,009 and 42,853

Step by Step Solution

1. Step 1: Write the proportion equation
   20,009 : 42,853 = 42,853 : x
2. Step 2: Convert to fraction form
   20,009/42,853 = 42,853/x
3. Step 3: Cross multiply
   20,009x = 42,853 × 42,853
4. Step 4: Simplify right side
   20,009x = 1,836,379,609
5. Step 5: Solve for x
   x = 1,836,379,609/20,009
6. Step 6: Final answer
   x = 91,777.68