Finding the Third Proportional to 826.41 and 1,812.56

Step by Step Solution

1. Step 1: Write the proportion equation
   826.41 : 1,812.56 = 1,812.56 : x
2. Step 2: Convert to fraction form
   826.41/1,812.56 = 1,812.56/x
3. Step 3: Cross multiply
   826.41x = 1,812.56 × 1,812.56
4. Step 4: Simplify right side
   826.41x = 3,285,382.82
5. Step 5: Solve for x
   x = 3,285,382.82/826.41
6. Step 6: Final answer
   x = 3,975.51