Finding the Third Proportional to 1,473.50 and 3,206.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,473.50 : 3,206.78 = 3,206.78 : x
2. Step 2: Convert to fraction form
   1,473.50/3,206.78 = 3,206.78/x
3. Step 3: Cross multiply
   1,473.50x = 3,206.78 × 3,206.78
4. Step 4: Simplify right side
   1,473.50x = 10,283,420.93
5. Step 5: Solve for x
   x = 10,283,420.93/1,473.50
6. Step 6: Final answer
   x = 6,978.89