Finding the Third Proportional to 758.06 and 1,600.69

Step by Step Solution

1. Step 1: Write the proportion equation
   758.06 : 1,600.69 = 1,600.69 : x
2. Step 2: Convert to fraction form
   758.06/1,600.69 = 1,600.69/x
3. Step 3: Cross multiply
   758.06x = 1,600.69 × 1,600.69
4. Step 4: Simplify right side
   758.06x = 2,562,200.47
5. Step 5: Solve for x
   x = 2,562,200.47/758.06
6. Step 6: Final answer
   x = 3,379.93