Finding the Third Proportional to 2,968.88 and 5,478.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,968.88 : 5,478.75 = 5,478.75 : x
2. Step 2: Convert to fraction form
   2,968.88/5,478.75 = 5,478.75/x
3. Step 3: Cross multiply
   2,968.88x = 5,478.75 × 5,478.75
4. Step 4: Simplify right side
   2,968.88x = 30,016,701.56
5. Step 5: Solve for x
   x = 30,016,701.56/2,968.88
6. Step 6: Final answer
   x = 10,110.46