Finding the Third Proportional to 20,176 and 42,659

Step by Step Solution

1. Step 1: Write the proportion equation
   20,176 : 42,659 = 42,659 : x
2. Step 2: Convert to fraction form
   20,176/42,659 = 42,659/x
3. Step 3: Cross multiply
   20,176x = 42,659 × 42,659
4. Step 4: Simplify right side
   20,176x = 1,819,790,281
5. Step 5: Solve for x
   x = 1,819,790,281/20,176
6. Step 6: Final answer
   x = 90,195.79