Finding the Third Proportional to 2,508.50 and 3,563

Step by Step Solution

1. Step 1: Write the proportion equation
   2,508.50 : 3,563 = 3,563 : x
2. Step 2: Convert to fraction form
   2,508.50/3,563 = 3,563/x
3. Step 3: Cross multiply
   2,508.50x = 3,563 × 3,563
4. Step 4: Simplify right side
   2,508.50x = 12,694,969
5. Step 5: Solve for x
   x = 12,694,969/2,508.50
6. Step 6: Final answer
   x = 5,060.78