Finding the Third Proportional to 2,520.75 and 5,478.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520.75 : 5,478.88 = 5,478.88 : x
2. Step 2: Convert to fraction form
   2,520.75/5,478.88 = 5,478.88/x
3. Step 3: Cross multiply
   2,520.75x = 5,478.88 × 5,478.88
4. Step 4: Simplify right side
   2,520.75x = 30,018,071.27
5. Step 5: Solve for x
   x = 30,018,071.27/2,520.75
6. Step 6: Final answer
   x = 11,908.39