Finding the Third Proportional to 19,678 and 31,294

Step by Step Solution

1. Step 1: Write the proportion equation
   19,678 : 31,294 = 31,294 : x
2. Step 2: Convert to fraction form
   19,678/31,294 = 31,294/x
3. Step 3: Cross multiply
   19,678x = 31,294 × 31,294
4. Step 4: Simplify right side
   19,678x = 979,314,436
5. Step 5: Solve for x
   x = 979,314,436/19,678
6. Step 6: Final answer
   x = 49,766.97