Finding the Third Proportional to 20,180 and 42,757

Step by Step Solution

1. Step 1: Write the proportion equation
   20,180 : 42,757 = 42,757 : x
2. Step 2: Convert to fraction form
   20,180/42,757 = 42,757/x
3. Step 3: Cross multiply
   20,180x = 42,757 × 42,757
4. Step 4: Simplify right side
   20,180x = 1,828,161,049
5. Step 5: Solve for x
   x = 1,828,161,049/20,180
6. Step 6: Final answer
   x = 90,592.72