Finding the Third Proportional to 2,563 and 5,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563 : 5,219.50 = 5,219.50 : x
2. Step 2: Convert to fraction form
   2,563/5,219.50 = 5,219.50/x
3. Step 3: Cross multiply
   2,563x = 5,219.50 × 5,219.50
4. Step 4: Simplify right side
   2,563x = 27,243,180.25
5. Step 5: Solve for x
   x = 27,243,180.25/2,563
6. Step 6: Final answer
   x = 10,629.41