Finding the Third Proportional to 978.50 and 1,396.50

Step by Step Solution

1. Step 1: Write the proportion equation
   978.50 : 1,396.50 = 1,396.50 : x
2. Step 2: Convert to fraction form
   978.50/1,396.50 = 1,396.50/x
3. Step 3: Cross multiply
   978.50x = 1,396.50 × 1,396.50
4. Step 4: Simplify right side
   978.50x = 1,950,212.25
5. Step 5: Solve for x
   x = 1,950,212.25/978.50
6. Step 6: Final answer
   x = 1,993.06