Finding the Third Proportional to 2,702.94 and 5,754.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,702.94 : 5,754.63 = 5,754.63 : x
2. Step 2: Convert to fraction form
   2,702.94/5,754.63 = 5,754.63/x
3. Step 3: Cross multiply
   2,702.94x = 5,754.63 × 5,754.63
4. Step 4: Simplify right side
   2,702.94x = 33,115,708.89
5. Step 5: Solve for x
   x = 33,115,708.89/2,702.94
6. Step 6: Final answer
   x = 12,251.75