Finding the Third Proportional to 2,142 and 5,190

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 5,190 = 5,190 : x
2. Step 2: Convert to fraction form
   2,142/5,190 = 5,190/x
3. Step 3: Cross multiply
   2,142x = 5,190 × 5,190
4. Step 4: Simplify right side
   2,142x = 26,936,100
5. Step 5: Solve for x
   x = 26,936,100/2,142
6. Step 6: Final answer
   x = 12,575.21