Finding the Third Proportional to 5,677 and 12,042

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677 : 12,042 = 12,042 : x
2. Step 2: Convert to fraction form
   5,677/12,042 = 12,042/x
3. Step 3: Cross multiply
   5,677x = 12,042 × 12,042
4. Step 4: Simplify right side
   5,677x = 145,009,764
5. Step 5: Solve for x
   x = 145,009,764/5,677
6. Step 6: Final answer
   x = 25,543.38