Finding the Third Proportional to 5,119.88 and 7,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,119.88 : 7,647.75 = 7,647.75 : x
2. Step 2: Convert to fraction form
   5,119.88/7,647.75 = 7,647.75/x
3. Step 3: Cross multiply
   5,119.88x = 7,647.75 × 7,647.75
4. Step 4: Simplify right side
   5,119.88x = 58,488,080.06
5. Step 5: Solve for x
   x = 58,488,080.06/5,119.88
6. Step 6: Final answer
   x = 11,423.73