Finding the Third Proportional to 13,174 and 31,098

Step by Step Solution

1. Step 1: Write the proportion equation
   13,174 : 31,098 = 31,098 : x
2. Step 2: Convert to fraction form
   13,174/31,098 = 31,098/x
3. Step 3: Cross multiply
   13,174x = 31,098 × 31,098
4. Step 4: Simplify right side
   13,174x = 967,085,604
5. Step 5: Solve for x
   x = 967,085,604/13,174
6. Step 6: Final answer
   x = 73,408.65