Finding the Third Proportional to 2,658.13 and 5,741.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,658.13 : 5,741.38 = 5,741.38 : x
2. Step 2: Convert to fraction form
   2,658.13/5,741.38 = 5,741.38/x
3. Step 3: Cross multiply
   2,658.13x = 5,741.38 × 5,741.38
4. Step 4: Simplify right side
   2,658.13x = 32,963,386.89
5. Step 5: Solve for x
   x = 32,963,386.89/2,658.13
6. Step 6: Final answer
   x = 12,400.99