Finding the Third Proportional to 13,684 and 17,574

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684 : 17,574 = 17,574 : x
2. Step 2: Convert to fraction form
   13,684/17,574 = 17,574/x
3. Step 3: Cross multiply
   13,684x = 17,574 × 17,574
4. Step 4: Simplify right side
   13,684x = 308,845,476
5. Step 5: Solve for x
   x = 308,845,476/13,684
6. Step 6: Final answer
   x = 22,569.82