Finding the Third Proportional to 779.55 and 1,624.83

Step by Step Solution

1. Step 1: Write the proportion equation
   779.55 : 1,624.83 = 1,624.83 : x
2. Step 2: Convert to fraction form
   779.55/1,624.83 = 1,624.83/x
3. Step 3: Cross multiply
   779.55x = 1,624.83 × 1,624.83
4. Step 4: Simplify right side
   779.55x = 2,640,056.92
5. Step 5: Solve for x
   x = 2,640,056.92/779.55
6. Step 6: Final answer
   x = 3,386.66