Finding the Third Proportional to 2,749.31 and 5,923.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.31 : 5,923.88 = 5,923.88 : x
2. Step 2: Convert to fraction form
   2,749.31/5,923.88 = 5,923.88/x
3. Step 3: Cross multiply
   2,749.31x = 5,923.88 × 5,923.88
4. Step 4: Simplify right side
   2,749.31x = 35,092,295.02
5. Step 5: Solve for x
   x = 35,092,295.02/2,749.31
6. Step 6: Final answer
   x = 12,764.03