Finding the Third Proportional to 11,523 and 17,406

Step by Step Solution

1. Step 1: Write the proportion equation
   11,523 : 17,406 = 17,406 : x
2. Step 2: Convert to fraction form
   11,523/17,406 = 17,406/x
3. Step 3: Cross multiply
   11,523x = 17,406 × 17,406
4. Step 4: Simplify right side
   11,523x = 302,968,836
5. Step 5: Solve for x
   x = 302,968,836/11,523
6. Step 6: Final answer
   x = 26,292.53