Finding the Third Proportional to 758.74 and 1,822.82

Step by Step Solution

1. Step 1: Write the proportion equation
   758.74 : 1,822.82 = 1,822.82 : x
2. Step 2: Convert to fraction form
   758.74/1,822.82 = 1,822.82/x
3. Step 3: Cross multiply
   758.74x = 1,822.82 × 1,822.82
4. Step 4: Simplify right side
   758.74x = 3,322,659.65
5. Step 5: Solve for x
   x = 3,322,659.65/758.74
6. Step 6: Final answer
   x = 4,379.17