Finding the Third Proportional to 978.94 and 2,087.81

Step by Step Solution

1. Step 1: Write the proportion equation
   978.94 : 2,087.81 = 2,087.81 : x
2. Step 2: Convert to fraction form
   978.94/2,087.81 = 2,087.81/x
3. Step 3: Cross multiply
   978.94x = 2,087.81 × 2,087.81
4. Step 4: Simplify right side
   978.94x = 4,358,961.04
5. Step 5: Solve for x
   x = 4,358,961.04/978.94
6. Step 6: Final answer
   x = 4,452.75