Finding the Third Proportional to 2,686.50 and 5,577

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.50 : 5,577 = 5,577 : x
2. Step 2: Convert to fraction form
   2,686.50/5,577 = 5,577/x
3. Step 3: Cross multiply
   2,686.50x = 5,577 × 5,577
4. Step 4: Simplify right side
   2,686.50x = 31,102,929
5. Step 5: Solve for x
   x = 31,102,929/2,686.50
6. Step 6: Final answer
   x = 11,577.49