Finding the Third Proportional to 2,576.81 and 3,875.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576.81 : 3,875.34 = 3,875.34 : x
2. Step 2: Convert to fraction form
   2,576.81/3,875.34 = 3,875.34/x
3. Step 3: Cross multiply
   2,576.81x = 3,875.34 × 3,875.34
4. Step 4: Simplify right side
   2,576.81x = 15,018,289.18
5. Step 5: Solve for x
   x = 15,018,289.18/2,576.81
6. Step 6: Final answer
   x = 5,828.24