Finding the Third Proportional to 10,798 and 13,174

Step by Step Solution

1. Step 1: Write the proportion equation
   10,798 : 13,174 = 13,174 : x
2. Step 2: Convert to fraction form
   10,798/13,174 = 13,174/x
3. Step 3: Cross multiply
   10,798x = 13,174 × 13,174
4. Step 4: Simplify right side
   10,798x = 173,554,276
5. Step 5: Solve for x
   x = 173,554,276/10,798
6. Step 6: Final answer
   x = 16,072.82