Finding the Third Proportional to 12,128 and 17,382

Step by Step Solution

1. Step 1: Write the proportion equation
   12,128 : 17,382 = 17,382 : x
2. Step 2: Convert to fraction form
   12,128/17,382 = 17,382/x
3. Step 3: Cross multiply
   12,128x = 17,382 × 17,382
4. Step 4: Simplify right side
   12,128x = 302,133,924
5. Step 5: Solve for x
   x = 302,133,924/12,128
6. Step 6: Final answer
   x = 24,912.10