Finding the Third Proportional to 11,500 and 13,174

Step by Step Solution

1. Step 1: Write the proportion equation
   11,500 : 13,174 = 13,174 : x
2. Step 2: Convert to fraction form
   11,500/13,174 = 13,174/x
3. Step 3: Cross multiply
   11,500x = 13,174 × 13,174
4. Step 4: Simplify right side
   11,500x = 173,554,276
5. Step 5: Solve for x
   x = 173,554,276/11,500
6. Step 6: Final answer
   x = 15,091.68