Finding the Third Proportional to 978.75 and 2,111.06

Step by Step Solution

1. Step 1: Write the proportion equation
   978.75 : 2,111.06 = 2,111.06 : x
2. Step 2: Convert to fraction form
   978.75/2,111.06 = 2,111.06/x
3. Step 3: Cross multiply
   978.75x = 2,111.06 × 2,111.06
4. Step 4: Simplify right side
   978.75x = 4,456,584.88
5. Step 5: Solve for x
   x = 4,456,584.88/978.75
6. Step 6: Final answer
   x = 4,553.34