Finding the Third Proportional to 12,294 and 19,498

Step by Step Solution

1. Step 1: Write the proportion equation
   12,294 : 19,498 = 19,498 : x
2. Step 2: Convert to fraction form
   12,294/19,498 = 19,498/x
3. Step 3: Cross multiply
   12,294x = 19,498 × 19,498
4. Step 4: Simplify right side
   12,294x = 380,172,004
5. Step 5: Solve for x
   x = 380,172,004/12,294
6. Step 6: Final answer
   x = 30,923.38