Finding the Third Proportional to 10,388 and 11,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388 : 11,522 = 11,522 : x
2. Step 2: Convert to fraction form
   10,388/11,522 = 11,522/x
3. Step 3: Cross multiply
   10,388x = 11,522 × 11,522
4. Step 4: Simplify right side
   10,388x = 132,756,484
5. Step 5: Solve for x
   x = 132,756,484/10,388
6. Step 6: Final answer
   x = 12,779.79