Finding the Third Proportional to 20,180 and 42,565

Step by Step Solution

1. Step 1: Write the proportion equation
   20,180 : 42,565 = 42,565 : x
2. Step 2: Convert to fraction form
   20,180/42,565 = 42,565/x
3. Step 3: Cross multiply
   20,180x = 42,565 × 42,565
4. Step 4: Simplify right side
   20,180x = 1,811,779,225
5. Step 5: Solve for x
   x = 1,811,779,225/20,180
6. Step 6: Final answer
   x = 89,780.93