Finding the Third Proportional to 10,270 and 14,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,270 : 14,686 = 14,686 : x
2. Step 2: Convert to fraction form
   10,270/14,686 = 14,686/x
3. Step 3: Cross multiply
   10,270x = 14,686 × 14,686
4. Step 4: Simplify right side
   10,270x = 215,678,596
5. Step 5: Solve for x
   x = 215,678,596/10,270
6. Step 6: Final answer
   x = 21,000.84