Finding the Third Proportional to 2,506 and 5,060

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506 : 5,060 = 5,060 : x
2. Step 2: Convert to fraction form
   2,506/5,060 = 5,060/x
3. Step 3: Cross multiply
   2,506x = 5,060 × 5,060
4. Step 4: Simplify right side
   2,506x = 25,603,600
5. Step 5: Solve for x
   x = 25,603,600/2,506
6. Step 6: Final answer
   x = 10,216.92