Finding the Third Proportional to 978.75 and 1,442.25

Step by Step Solution

1. Step 1: Write the proportion equation
   978.75 : 1,442.25 = 1,442.25 : x
2. Step 2: Convert to fraction form
   978.75/1,442.25 = 1,442.25/x
3. Step 3: Cross multiply
   978.75x = 1,442.25 × 1,442.25
4. Step 4: Simplify right side
   978.75x = 2,080,085.06
5. Step 5: Solve for x
   x = 2,080,085.06/978.75
6. Step 6: Final answer
   x = 2,125.25