Finding the Third Proportional to 11,696 and 18,522

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696 : 18,522 = 18,522 : x
2. Step 2: Convert to fraction form
   11,696/18,522 = 18,522/x
3. Step 3: Cross multiply
   11,696x = 18,522 × 18,522
4. Step 4: Simplify right side
   11,696x = 343,064,484
5. Step 5: Solve for x
   x = 343,064,484/11,696
6. Step 6: Final answer
   x = 29,331.78