Finding the Third Proportional to 2,576.81 and 3,858.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.81 : 3,858.47 = 3,858.47 : x
2. Step 2: Convert to fraction form
   2,576.81/3,858.47 = 3,858.47/x
3. Step 3: Cross multiply
   2,576.81x = 3,858.47 × 3,858.47
4. Step 4: Simplify right side
   2,576.81x = 14,887,781.09
5. Step 5: Solve for x
   x = 14,887,781.09/2,576.81
6. Step 6: Final answer
   x = 5,777.60