Finding the Third Proportional to 2,564.50 and 5,052.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 5,052.75 = 5,052.75 : x
2. Step 2: Convert to fraction form
   2,564.50/5,052.75 = 5,052.75/x
3. Step 3: Cross multiply
   2,564.50x = 5,052.75 × 5,052.75
4. Step 4: Simplify right side
   2,564.50x = 25,530,282.56
5. Step 5: Solve for x
   x = 25,530,282.56/2,564.50
6. Step 6: Final answer
   x = 9,955.27