Finding the Third Proportional to 4,506 and 10,167

Step by Step Solution

1. Step 1: Write the proportion equation
   4,506 : 10,167 = 10,167 : x
2. Step 2: Convert to fraction form
   4,506/10,167 = 10,167/x
3. Step 3: Cross multiply
   4,506x = 10,167 × 10,167
4. Step 4: Simplify right side
   4,506x = 103,367,889
5. Step 5: Solve for x
   x = 103,367,889/4,506
6. Step 6: Final answer
   x = 22,940.06