Finding the Third Proportional to 20,176 and 42,779

Step by Step Solution

1. Step 1: Write the proportion equation
   20,176 : 42,779 = 42,779 : x
2. Step 2: Convert to fraction form
   20,176/42,779 = 42,779/x
3. Step 3: Cross multiply
   20,176x = 42,779 × 42,779
4. Step 4: Simplify right side
   20,176x = 1,830,042,841
5. Step 5: Solve for x
   x = 1,830,042,841/20,176
6. Step 6: Final answer
   x = 90,703.95