Finding the Third Proportional to 11,405 and 17,522

Step by Step Solution

1. Step 1: Write the proportion equation
   11,405 : 17,522 = 17,522 : x
2. Step 2: Convert to fraction form
   11,405/17,522 = 17,522/x
3. Step 3: Cross multiply
   11,405x = 17,522 × 17,522
4. Step 4: Simplify right side
   11,405x = 307,020,484
5. Step 5: Solve for x
   x = 307,020,484/11,405
6. Step 6: Final answer
   x = 26,919.81