Finding the Third Proportional to 5,769 and 12,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769 : 12,613.50 = 12,613.50 : x
2. Step 2: Convert to fraction form
   5,769/12,613.50 = 12,613.50/x
3. Step 3: Cross multiply
   5,769x = 12,613.50 × 12,613.50
4. Step 4: Simplify right side
   5,769x = 159,100,382.25
5. Step 5: Solve for x
   x = 159,100,382.25/5,769
6. Step 6: Final answer
   x = 27,578.50