Finding the Third Proportional to 978 and 1,436.25

Step by Step Solution

1. Step 1: Write the proportion equation
   978 : 1,436.25 = 1,436.25 : x
2. Step 2: Convert to fraction form
   978/1,436.25 = 1,436.25/x
3. Step 3: Cross multiply
   978x = 1,436.25 × 1,436.25
4. Step 4: Simplify right side
   978x = 2,062,814.06
5. Step 5: Solve for x
   x = 2,062,814.06/978
6. Step 6: Final answer
   x = 2,109.22