Finding the Third Proportional to 11,501 and 17,661

Step by Step Solution

1. Step 1: Write the proportion equation
   11,501 : 17,661 = 17,661 : x
2. Step 2: Convert to fraction form
   11,501/17,661 = 17,661/x
3. Step 3: Cross multiply
   11,501x = 17,661 × 17,661
4. Step 4: Simplify right side
   11,501x = 311,910,921
5. Step 5: Solve for x
   x = 311,910,921/11,501
6. Step 6: Final answer
   x = 27,120.33