Finding the Third Proportional to 2,741.77 and 5,857.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,741.77 : 5,857.31 = 5,857.31 : x
2. Step 2: Convert to fraction form
   2,741.77/5,857.31 = 5,857.31/x
3. Step 3: Cross multiply
   2,741.77x = 5,857.31 × 5,857.31
4. Step 4: Simplify right side
   2,741.77x = 34,308,109.72
5. Step 5: Solve for x
   x = 34,308,109.72/2,741.77
6. Step 6: Final answer
   x = 12,513.14