Finding the Third Proportional to 5,634 and 12,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,634 : 12,559.50 = 12,559.50 : x
2. Step 2: Convert to fraction form
   5,634/12,559.50 = 12,559.50/x
3. Step 3: Cross multiply
   5,634x = 12,559.50 × 12,559.50
4. Step 4: Simplify right side
   5,634x = 157,741,040.25
5. Step 5: Solve for x
   x = 157,741,040.25/5,634
6. Step 6: Final answer
   x = 27,998.05