Finding the Third Proportional to 11,648 and 17,526

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648 : 17,526 = 17,526 : x
2. Step 2: Convert to fraction form
   11,648/17,526 = 17,526/x
3. Step 3: Cross multiply
   11,648x = 17,526 × 17,526
4. Step 4: Simplify right side
   11,648x = 307,160,676
5. Step 5: Solve for x
   x = 307,160,676/11,648
6. Step 6: Final answer
   x = 26,370.25