Finding the Third Proportional to 5,140 and 5,512

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140 : 5,512 = 5,512 : x
2. Step 2: Convert to fraction form
   5,140/5,512 = 5,512/x
3. Step 3: Cross multiply
   5,140x = 5,512 × 5,512
4. Step 4: Simplify right side
   5,140x = 30,382,144
5. Step 5: Solve for x
   x = 30,382,144/5,140
6. Step 6: Final answer
   x = 5,910.92