Finding the Third Proportional to 1,349.25 and 1,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,349.25 : 1,822.69 = 1,822.69 : x
2. Step 2: Convert to fraction form
   1,349.25/1,822.69 = 1,822.69/x
3. Step 3: Cross multiply
   1,349.25x = 1,822.69 × 1,822.69
4. Step 4: Simplify right side
   1,349.25x = 3,322,189.72
5. Step 5: Solve for x
   x = 3,322,189.72/1,349.25
6. Step 6: Final answer
   x = 2,462.25