Finding the Third Proportional to 10,204 and 13,458

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 13,458 = 13,458 : x
2. Step 2: Convert to fraction form
   10,204/13,458 = 13,458/x
3. Step 3: Cross multiply
   10,204x = 13,458 × 13,458
4. Step 4: Simplify right side
   10,204x = 181,117,764
5. Step 5: Solve for x
   x = 181,117,764/10,204
6. Step 6: Final answer
   x = 17,749.68