Finding the Third Proportional to 779.50 and 1,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   779.50 : 1,680.50 = 1,680.50 : x
2. Step 2: Convert to fraction form
   779.50/1,680.50 = 1,680.50/x
3. Step 3: Cross multiply
   779.50x = 1,680.50 × 1,680.50
4. Step 4: Simplify right side
   779.50x = 2,824,080.25
5. Step 5: Solve for x
   x = 2,824,080.25/779.50
6. Step 6: Final answer
   x = 3,622.94