Finding the Third Proportional to 12,328 and 16,402

Step by Step Solution

1. Step 1: Write the proportion equation
   12,328 : 16,402 = 16,402 : x
2. Step 2: Convert to fraction form
   12,328/16,402 = 16,402/x
3. Step 3: Cross multiply
   12,328x = 16,402 × 16,402
4. Step 4: Simplify right side
   12,328x = 269,025,604
5. Step 5: Solve for x
   x = 269,025,604/12,328
6. Step 6: Final answer
   x = 21,822.32