Finding the Third Proportional to 10,092 and 13,338

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 13,338 = 13,338 : x
2. Step 2: Convert to fraction form
   10,092/13,338 = 13,338/x
3. Step 3: Cross multiply
   10,092x = 13,338 × 13,338
4. Step 4: Simplify right side
   10,092x = 177,902,244
5. Step 5: Solve for x
   x = 177,902,244/10,092
6. Step 6: Final answer
   x = 17,628.05