Finding the Third Proportional to 11,832 and 17,526

Step by Step Solution

1. Step 1: Write the proportion equation
   11,832 : 17,526 = 17,526 : x
2. Step 2: Convert to fraction form
   11,832/17,526 = 17,526/x
3. Step 3: Cross multiply
   11,832x = 17,526 × 17,526
4. Step 4: Simplify right side
   11,832x = 307,160,676
5. Step 5: Solve for x
   x = 307,160,676/11,832
6. Step 6: Final answer
   x = 25,960.17