Finding the Third Proportional to 5,794.50 and 12,702.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,794.50 : 12,702.75 = 12,702.75 : x
2. Step 2: Convert to fraction form
   5,794.50/12,702.75 = 12,702.75/x
3. Step 3: Cross multiply
   5,794.50x = 12,702.75 × 12,702.75
4. Step 4: Simplify right side
   5,794.50x = 161,359,857.56
5. Step 5: Solve for x
   x = 161,359,857.56/5,794.50
6. Step 6: Final answer
   x = 27,847.07