Finding the Third Proportional to 779.50 and 1,733

Step by Step Solution

1. Step 1: Write the proportion equation
   779.50 : 1,733 = 1,733 : x
2. Step 2: Convert to fraction form
   779.50/1,733 = 1,733/x
3. Step 3: Cross multiply
   779.50x = 1,733 × 1,733
4. Step 4: Simplify right side
   779.50x = 3,003,289
5. Step 5: Solve for x
   x = 3,003,289/779.50
6. Step 6: Final answer
   x = 3,852.84