Finding the Third Proportional to 10,182 and 14,301

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 14,301 = 14,301 : x
2. Step 2: Convert to fraction form
   10,182/14,301 = 14,301/x
3. Step 3: Cross multiply
   10,182x = 14,301 × 14,301
4. Step 4: Simplify right side
   10,182x = 204,518,601
5. Step 5: Solve for x
   x = 204,518,601/10,182
6. Step 6: Final answer
   x = 20,086.29