Finding the Third Proportional to 12,128 and 17,336

Step by Step Solution

1. Step 1: Write the proportion equation
   12,128 : 17,336 = 17,336 : x
2. Step 2: Convert to fraction form
   12,128/17,336 = 17,336/x
3. Step 3: Cross multiply
   12,128x = 17,336 × 17,336
4. Step 4: Simplify right side
   12,128x = 300,536,896
5. Step 5: Solve for x
   x = 300,536,896/12,128
6. Step 6: Final answer
   x = 24,780.42