Finding the Third Proportional to 8,384 and 17,440

Step by Step Solution

1. Step 1: Write the proportion equation
   8,384 : 17,440 = 17,440 : x
2. Step 2: Convert to fraction form
   8,384/17,440 = 17,440/x
3. Step 3: Cross multiply
   8,384x = 17,440 × 17,440
4. Step 4: Simplify right side
   8,384x = 304,153,600
5. Step 5: Solve for x
   x = 304,153,600/8,384
6. Step 6: Final answer
   x = 36,277.86