Finding the Third Proportional to 4,566 and 10,196

Step by Step Solution

1. Step 1: Write the proportion equation
   4,566 : 10,196 = 10,196 : x
2. Step 2: Convert to fraction form
   4,566/10,196 = 10,196/x
3. Step 3: Cross multiply
   4,566x = 10,196 × 10,196
4. Step 4: Simplify right side
   4,566x = 103,958,416
5. Step 5: Solve for x
   x = 103,958,416/4,566
6. Step 6: Final answer
   x = 22,767.94