Finding the Third Proportional to 5,142 and 5,868

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142 : 5,868 = 5,868 : x
2. Step 2: Convert to fraction form
   5,142/5,868 = 5,868/x
3. Step 3: Cross multiply
   5,142x = 5,868 × 5,868
4. Step 4: Simplify right side
   5,142x = 34,433,424
5. Step 5: Solve for x
   x = 34,433,424/5,142
6. Step 6: Final answer
   x = 6,696.50