Finding the Third Proportional to 20,661 and 42,546

Step by Step Solution

1. Step 1: Write the proportion equation
   20,661 : 42,546 = 42,546 : x
2. Step 2: Convert to fraction form
   20,661/42,546 = 42,546/x
3. Step 3: Cross multiply
   20,661x = 42,546 × 42,546
4. Step 4: Simplify right side
   20,661x = 1,810,162,116
5. Step 5: Solve for x
   x = 1,810,162,116/20,661
6. Step 6: Final answer
   x = 87,612.51