Finding the Third Proportional to 5,798.25 and 12,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,798.25 : 12,683.25 = 12,683.25 : x
2. Step 2: Convert to fraction form
   5,798.25/12,683.25 = 12,683.25/x
3. Step 3: Cross multiply
   5,798.25x = 12,683.25 × 12,683.25
4. Step 4: Simplify right side
   5,798.25x = 160,864,830.56
5. Step 5: Solve for x
   x = 160,864,830.56/5,798.25
6. Step 6: Final answer
   x = 27,743.69