Finding the Third Proportional to 1,212.47 and 1,828.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,212.47 : 1,828.83 = 1,828.83 : x
2. Step 2: Convert to fraction form
   1,212.47/1,828.83 = 1,828.83/x
3. Step 3: Cross multiply
   1,212.47x = 1,828.83 × 1,828.83
4. Step 4: Simplify right side
   1,212.47x = 3,344,612.31
5. Step 5: Solve for x
   x = 3,344,612.31/1,212.47
6. Step 6: Final answer
   x = 2,758.51