Finding the Third Proportional to 2,610 and 5,301

Step by Step Solution

1. Step 1: Write the proportion equation
   2,610 : 5,301 = 5,301 : x
2. Step 2: Convert to fraction form
   2,610/5,301 = 5,301/x
3. Step 3: Cross multiply
   2,610x = 5,301 × 5,301
4. Step 4: Simplify right side
   2,610x = 28,100,601
5. Step 5: Solve for x
   x = 28,100,601/2,610
6. Step 6: Final answer
   x = 10,766.51