Finding the Third Proportional to 10,624 and 14,166

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 14,166 = 14,166 : x
2. Step 2: Convert to fraction form
   10,624/14,166 = 14,166/x
3. Step 3: Cross multiply
   10,624x = 14,166 × 14,166
4. Step 4: Simplify right side
   10,624x = 200,675,556
5. Step 5: Solve for x
   x = 200,675,556/10,624
6. Step 6: Final answer
   x = 18,888.89