Finding the Third Proportional to 20,177 and 42,015

Step by Step Solution

1. Step 1: Write the proportion equation
   20,177 : 42,015 = 42,015 : x
2. Step 2: Convert to fraction form
   20,177/42,015 = 42,015/x
3. Step 3: Cross multiply
   20,177x = 42,015 × 42,015
4. Step 4: Simplify right side
   20,177x = 1,765,260,225
5. Step 5: Solve for x
   x = 1,765,260,225/20,177
6. Step 6: Final answer
   x = 87,488.74