Finding the Third Proportional to 6,128 and 12,211

Step by Step Solution

1. Step 1: Write the proportion equation
   6,128 : 12,211 = 12,211 : x
2. Step 2: Convert to fraction form
   6,128/12,211 = 12,211/x
3. Step 3: Cross multiply
   6,128x = 12,211 × 12,211
4. Step 4: Simplify right side
   6,128x = 149,108,521
5. Step 5: Solve for x
   x = 149,108,521/6,128
6. Step 6: Final answer
   x = 24,332.33