Finding the Third Proportional to 10,192 and 13,328

Step by Step Solution

1. Step 1: Write the proportion equation
   10,192 : 13,328 = 13,328 : x
2. Step 2: Convert to fraction form
   10,192/13,328 = 13,328/x
3. Step 3: Cross multiply
   10,192x = 13,328 × 13,328
4. Step 4: Simplify right side
   10,192x = 177,635,584
5. Step 5: Solve for x
   x = 177,635,584/10,192
6. Step 6: Final answer
   x = 17,428.92