Finding the Third Proportional to 6,577 and 10,229

Step by Step Solution

1. Step 1: Write the proportion equation
   6,577 : 10,229 = 10,229 : x
2. Step 2: Convert to fraction form
   6,577/10,229 = 10,229/x
3. Step 3: Cross multiply
   6,577x = 10,229 × 10,229
4. Step 4: Simplify right side
   6,577x = 104,632,441
5. Step 5: Solve for x
   x = 104,632,441/6,577
6. Step 6: Final answer
   x = 15,908.84