Finding the Third Proportional to 10,124 and 16,810

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124 : 16,810 = 16,810 : x
2. Step 2: Convert to fraction form
   10,124/16,810 = 16,810/x
3. Step 3: Cross multiply
   10,124x = 16,810 × 16,810
4. Step 4: Simplify right side
   10,124x = 282,576,100
5. Step 5: Solve for x
   x = 282,576,100/10,124
6. Step 6: Final answer
   x = 27,911.51