Finding the Third Proportional to 20,106 and 42,675

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 42,675 = 42,675 : x
2. Step 2: Convert to fraction form
   20,106/42,675 = 42,675/x
3. Step 3: Cross multiply
   20,106x = 42,675 × 42,675
4. Step 4: Simplify right side
   20,106x = 1,821,155,625
5. Step 5: Solve for x
   x = 1,821,155,625/20,106
6. Step 6: Final answer
   x = 90,577.72