Finding the Third Proportional to 10,186 and 22,014

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 22,014 = 22,014 : x
2. Step 2: Convert to fraction form
   10,186/22,014 = 22,014/x
3. Step 3: Cross multiply
   10,186x = 22,014 × 22,014
4. Step 4: Simplify right side
   10,186x = 484,616,196
5. Step 5: Solve for x
   x = 484,616,196/10,186
6. Step 6: Final answer
   x = 47,576.69