Finding the Third Proportional to 9,678 and 21,179

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 21,179 = 21,179 : x
2. Step 2: Convert to fraction form
   9,678/21,179 = 21,179/x
3. Step 3: Cross multiply
   9,678x = 21,179 × 21,179
4. Step 4: Simplify right side
   9,678x = 448,550,041
5. Step 5: Solve for x
   x = 448,550,041/9,678
6. Step 6: Final answer
   x = 46,347.39