Finding the Third Proportional to 20,077 and 42,563

Step by Step Solution

1. Step 1: Write the proportion equation
   20,077 : 42,563 = 42,563 : x
2. Step 2: Convert to fraction form
   20,077/42,563 = 42,563/x
3. Step 3: Cross multiply
   20,077x = 42,563 × 42,563
4. Step 4: Simplify right side
   20,077x = 1,811,608,969
5. Step 5: Solve for x
   x = 1,811,608,969/20,077
6. Step 6: Final answer
   x = 90,233.05