Finding the Third Proportional to 5,458 and 13,042

Step by Step Solution

1. Step 1: Write the proportion equation
   5,458 : 13,042 = 13,042 : x
2. Step 2: Convert to fraction form
   5,458/13,042 = 13,042/x
3. Step 3: Cross multiply
   5,458x = 13,042 × 13,042
4. Step 4: Simplify right side
   5,458x = 170,093,764
5. Step 5: Solve for x
   x = 170,093,764/5,458
6. Step 6: Final answer
   x = 31,164.12