Finding the Third Proportional to 978.75 and 2,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   978.75 : 2,099.25 = 2,099.25 : x
2. Step 2: Convert to fraction form
   978.75/2,099.25 = 2,099.25/x
3. Step 3: Cross multiply
   978.75x = 2,099.25 × 2,099.25
4. Step 4: Simplify right side
   978.75x = 4,406,850.56
5. Step 5: Solve for x
   x = 4,406,850.56/978.75
6. Step 6: Final answer
   x = 4,502.53