Finding the Third Proportional to 5,777 and 12,650

Step by Step Solution

1. Step 1: Write the proportion equation
   5,777 : 12,650 = 12,650 : x
2. Step 2: Convert to fraction form
   5,777/12,650 = 12,650/x
3. Step 3: Cross multiply
   5,777x = 12,650 × 12,650
4. Step 4: Simplify right side
   5,777x = 160,022,500
5. Step 5: Solve for x
   x = 160,022,500/5,777
6. Step 6: Final answer
   x = 27,699.93