Finding the Third Proportional to 1,216.50 and 1,823.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.50 : 1,823.25 = 1,823.25 : x
2. Step 2: Convert to fraction form
   1,216.50/1,823.25 = 1,823.25/x
3. Step 3: Cross multiply
   1,216.50x = 1,823.25 × 1,823.25
4. Step 4: Simplify right side
   1,216.50x = 3,324,240.56
5. Step 5: Solve for x
   x = 3,324,240.56/1,216.50
6. Step 6: Final answer
   x = 2,732.63