Finding the Third Proportional to 978.47 and 2,037.80

Step by Step Solution

1. Step 1: Write the proportion equation
   978.47 : 2,037.80 = 2,037.80 : x
2. Step 2: Convert to fraction form
   978.47/2,037.80 = 2,037.80/x
3. Step 3: Cross multiply
   978.47x = 2,037.80 × 2,037.80
4. Step 4: Simplify right side
   978.47x = 4,152,616.10
5. Step 5: Solve for x
   x = 4,152,616.10/978.47
6. Step 6: Final answer
   x = 4,243.99