Finding the Third Proportional to 680.50 and 1,476.25

Step by Step Solution

1. Step 1: Write the proportion equation
   680.50 : 1,476.25 = 1,476.25 : x
2. Step 2: Convert to fraction form
   680.50/1,476.25 = 1,476.25/x
3. Step 3: Cross multiply
   680.50x = 1,476.25 × 1,476.25
4. Step 4: Simplify right side
   680.50x = 2,179,314.06
5. Step 5: Solve for x
   x = 2,179,314.06/680.50
6. Step 6: Final answer
   x = 3,202.52