Finding the Third Proportional to 8,294 and 12,199

Step by Step Solution

1. Step 1: Write the proportion equation
   8,294 : 12,199 = 12,199 : x
2. Step 2: Convert to fraction form
   8,294/12,199 = 12,199/x
3. Step 3: Cross multiply
   8,294x = 12,199 × 12,199
4. Step 4: Simplify right side
   8,294x = 148,815,601
5. Step 5: Solve for x
   x = 148,815,601/8,294
6. Step 6: Final answer
   x = 17,942.56