Finding the Third Proportional to 19,544 and 42,790

Step by Step Solution

1. Step 1: Write the proportion equation
   19,544 : 42,790 = 42,790 : x
2. Step 2: Convert to fraction form
   19,544/42,790 = 42,790/x
3. Step 3: Cross multiply
   19,544x = 42,790 × 42,790
4. Step 4: Simplify right side
   19,544x = 1,830,984,100
5. Step 5: Solve for x
   x = 1,830,984,100/19,544
6. Step 6: Final answer
   x = 93,685.23