Finding the Third Proportional to 2,627.75 and 5,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.75 : 5,182.75 = 5,182.75 : x
2. Step 2: Convert to fraction form
   2,627.75/5,182.75 = 5,182.75/x
3. Step 3: Cross multiply
   2,627.75x = 5,182.75 × 5,182.75
4. Step 4: Simplify right side
   2,627.75x = 26,860,897.56
5. Step 5: Solve for x
   x = 26,860,897.56/2,627.75
6. Step 6: Final answer
   x = 10,222.01