Finding the Third Proportional to 978.75 and 2,037.38

Step by Step Solution

1. Step 1: Write the proportion equation
   978.75 : 2,037.38 = 2,037.38 : x
2. Step 2: Convert to fraction form
   978.75/2,037.38 = 2,037.38/x
3. Step 3: Cross multiply
   978.75x = 2,037.38 × 2,037.38
4. Step 4: Simplify right side
   978.75x = 4,150,896.89
5. Step 5: Solve for x
   x = 4,150,896.89/978.75
6. Step 6: Final answer
   x = 4,241.02