Finding the Third Proportional to 2,564 and 5,062

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 5,062 = 5,062 : x
2. Step 2: Convert to fraction form
   2,564/5,062 = 5,062/x
3. Step 3: Cross multiply
   2,564x = 5,062 × 5,062
4. Step 4: Simplify right side
   2,564x = 25,623,844
5. Step 5: Solve for x
   x = 25,623,844/2,564
6. Step 6: Final answer
   x = 9,993.70