Finding the Third Proportional to 5,370 and 5,910

Step by Step Solution

1. Step 1: Write the proportion equation
   5,370 : 5,910 = 5,910 : x
2. Step 2: Convert to fraction form
   5,370/5,910 = 5,910/x
3. Step 3: Cross multiply
   5,370x = 5,910 × 5,910
4. Step 4: Simplify right side
   5,370x = 34,928,100
5. Step 5: Solve for x
   x = 34,928,100/5,370
6. Step 6: Final answer
   x = 6,504.30