Finding the Third Proportional to 9,828 and 14,010

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828 : 14,010 = 14,010 : x
2. Step 2: Convert to fraction form
   9,828/14,010 = 14,010/x
3. Step 3: Cross multiply
   9,828x = 14,010 × 14,010
4. Step 4: Simplify right side
   9,828x = 196,280,100
5. Step 5: Solve for x
   x = 196,280,100/9,828
6. Step 6: Final answer
   x = 19,971.52