Finding the Third Proportional to 2,765.38 and 5,854.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,765.38 : 5,854.63 = 5,854.63 : x
2. Step 2: Convert to fraction form
   2,765.38/5,854.63 = 5,854.63/x
3. Step 3: Cross multiply
   2,765.38x = 5,854.63 × 5,854.63
4. Step 4: Simplify right side
   2,765.38x = 34,276,633.89
5. Step 5: Solve for x
   x = 34,276,633.89/2,765.38
6. Step 6: Final answer
   x = 12,394.93