Finding the Third Proportional to 14,678 and 17,846

Step by Step Solution

1. Step 1: Write the proportion equation
   14,678 : 17,846 = 17,846 : x
2. Step 2: Convert to fraction form
   14,678/17,846 = 17,846/x
3. Step 3: Cross multiply
   14,678x = 17,846 × 17,846
4. Step 4: Simplify right side
   14,678x = 318,479,716
5. Step 5: Solve for x
   x = 318,479,716/14,678
6. Step 6: Final answer
   x = 21,697.76