Finding the Third Proportional to 978.94 and 2,054.06

Step by Step Solution

1. Step 1: Write the proportion equation
   978.94 : 2,054.06 = 2,054.06 : x
2. Step 2: Convert to fraction form
   978.94/2,054.06 = 2,054.06/x
3. Step 3: Cross multiply
   978.94x = 2,054.06 × 2,054.06
4. Step 4: Simplify right side
   978.94x = 4,219,172.75
5. Step 5: Solve for x
   x = 4,219,172.75/978.94
6. Step 6: Final answer
   x = 4,309.95