Finding the Third Proportional to 9,738 and 12,969

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 12,969 = 12,969 : x
2. Step 2: Convert to fraction form
   9,738/12,969 = 12,969/x
3. Step 3: Cross multiply
   9,738x = 12,969 × 12,969
4. Step 4: Simplify right side
   9,738x = 168,194,961
5. Step 5: Solve for x
   x = 168,194,961/9,738
6. Step 6: Final answer
   x = 17,272.02