Finding the Third Proportional to 2,541.38 and 3,814.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,541.38 : 3,814.59 = 3,814.59 : x
2. Step 2: Convert to fraction form
   2,541.38/3,814.59 = 3,814.59/x
3. Step 3: Cross multiply
   2,541.38x = 3,814.59 × 3,814.59
4. Step 4: Simplify right side
   2,541.38x = 14,551,125.48
5. Step 5: Solve for x
   x = 14,551,125.48/2,541.38
6. Step 6: Final answer
   x = 5,725.69