Finding the Third Proportional to 20,565 and 42,744

Step by Step Solution

1. Step 1: Write the proportion equation
   20,565 : 42,744 = 42,744 : x
2. Step 2: Convert to fraction form
   20,565/42,744 = 42,744/x
3. Step 3: Cross multiply
   20,565x = 42,744 × 42,744
4. Step 4: Simplify right side
   20,565x = 1,827,049,536
5. Step 5: Solve for x
   x = 1,827,049,536/20,565
6. Step 6: Final answer
   x = 88,842.67