Finding the Third Proportional to 978.25 and 2,314.75

Step by Step Solution

1. Step 1: Write the proportion equation
   978.25 : 2,314.75 = 2,314.75 : x
2. Step 2: Convert to fraction form
   978.25/2,314.75 = 2,314.75/x
3. Step 3: Cross multiply
   978.25x = 2,314.75 × 2,314.75
4. Step 4: Simplify right side
   978.25x = 5,358,067.56
5. Step 5: Solve for x
   x = 5,358,067.56/978.25
6. Step 6: Final answer
   x = 5,477.20