Finding the Third Proportional to 10,409 and 14,830

Step by Step Solution

1. Step 1: Write the proportion equation
   10,409 : 14,830 = 14,830 : x
2. Step 2: Convert to fraction form
   10,409/14,830 = 14,830/x
3. Step 3: Cross multiply
   10,409x = 14,830 × 14,830
4. Step 4: Simplify right side
   10,409x = 219,928,900
5. Step 5: Solve for x
   x = 219,928,900/10,409
6. Step 6: Final answer
   x = 21,128.73