Finding the Third Proportional to 5,153.25 and 7,777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,153.25 : 7,777.69 = 7,777.69 : x
2. Step 2: Convert to fraction form
   5,153.25/7,777.69 = 7,777.69/x
3. Step 3: Cross multiply
   5,153.25x = 7,777.69 × 7,777.69
4. Step 4: Simplify right side
   5,153.25x = 60,492,422.85
5. Step 5: Solve for x
   x = 60,492,422.85/5,153.25
6. Step 6: Final answer
   x = 11,738.69