Finding the Third Proportional to 19,498 and 42,698

Step by Step Solution

1. Step 1: Write the proportion equation
   19,498 : 42,698 = 42,698 : x
2. Step 2: Convert to fraction form
   19,498/42,698 = 42,698/x
3. Step 3: Cross multiply
   19,498x = 42,698 × 42,698
4. Step 4: Simplify right side
   19,498x = 1,823,119,204
5. Step 5: Solve for x
   x = 1,823,119,204/19,498
6. Step 6: Final answer
   x = 93,502.88