Finding the Third Proportional to 3,077.16 and 7,777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,077.16 : 7,777.69 = 7,777.69 : x
2. Step 2: Convert to fraction form
   3,077.16/7,777.69 = 7,777.69/x
3. Step 3: Cross multiply
   3,077.16x = 7,777.69 × 7,777.69
4. Step 4: Simplify right side
   3,077.16x = 60,492,422.85
5. Step 5: Solve for x
   x = 60,492,422.85/3,077.16
6. Step 6: Final answer
   x = 19,658.55