Finding the Third Proportional to 10,192 and 11,488

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 11,488 = 11,488 : x
2. Step 2: Convert to fraction form
   10,192/11,488 = 11,488/x
3. Step 3: Cross multiply
   10,192x = 11,488 × 11,488
4. Step 4: Simplify right side
   10,192x = 131,974,144
5. Step 5: Solve for x
   x = 131,974,144/10,192
6. Step 6: Final answer
   x = 12,948.80