Finding the Third Proportional to 20,178 and 42,559

Step by Step Solution

1. Step 1: Write the proportion equation
   20,178 : 42,559 = 42,559 : x
2. Step 2: Convert to fraction form
   20,178/42,559 = 42,559/x
3. Step 3: Cross multiply
   20,178x = 42,559 × 42,559
4. Step 4: Simplify right side
   20,178x = 1,811,268,481
5. Step 5: Solve for x
   x = 1,811,268,481/20,178
6. Step 6: Final answer
   x = 89,764.52