Finding the Third Proportional to 6,180.50 and 12,577

Step by Step Solution

1. Step 1: Write the proportion equation
   6,180.50 : 12,577 = 12,577 : x
2. Step 2: Convert to fraction form
   6,180.50/12,577 = 12,577/x
3. Step 3: Cross multiply
   6,180.50x = 12,577 × 12,577
4. Step 4: Simplify right side
   6,180.50x = 158,180,929
5. Step 5: Solve for x
   x = 158,180,929/6,180.50
6. Step 6: Final answer
   x = 25,593.55