Finding the Third Proportional to 20,782 and 42,790

Step by Step Solution

1. Step 1: Write the proportion equation
   20,782 : 42,790 = 42,790 : x
2. Step 2: Convert to fraction form
   20,782/42,790 = 42,790/x
3. Step 3: Cross multiply
   20,782x = 42,790 × 42,790
4. Step 4: Simplify right side
   20,782x = 1,830,984,100
5. Step 5: Solve for x
   x = 1,830,984,100/20,782
6. Step 6: Final answer
   x = 88,104.33