Finding the Third Proportional to 11,406 and 17,521

Step by Step Solution

1. Step 1: Write the proportion equation
   11,406 : 17,521 = 17,521 : x
2. Step 2: Convert to fraction form
   11,406/17,521 = 17,521/x
3. Step 3: Cross multiply
   11,406x = 17,521 × 17,521
4. Step 4: Simplify right side
   11,406x = 306,985,441
5. Step 5: Solve for x
   x = 306,985,441/11,406
6. Step 6: Final answer
   x = 26,914.38