Finding the Third Proportional to 13,174 and 31,099

Step by Step Solution

1. Step 1: Write the proportion equation
   13,174 : 31,099 = 31,099 : x
2. Step 2: Convert to fraction form
   13,174/31,099 = 31,099/x
3. Step 3: Cross multiply
   13,174x = 31,099 × 31,099
4. Step 4: Simplify right side
   13,174x = 967,147,801
5. Step 5: Solve for x
   x = 967,147,801/13,174
6. Step 6: Final answer
   x = 73,413.37