Finding the Third Proportional to 5,853 and 12,754.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,853 : 12,754.50 = 12,754.50 : x
2. Step 2: Convert to fraction form
   5,853/12,754.50 = 12,754.50/x
3. Step 3: Cross multiply
   5,853x = 12,754.50 × 12,754.50
4. Step 4: Simplify right side
   5,853x = 162,677,270.25
5. Step 5: Solve for x
   x = 162,677,270.25/5,853
6. Step 6: Final answer
   x = 27,793.83