Finding the Third Proportional to 10,566 and 13,417

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 13,417 = 13,417 : x
2. Step 2: Convert to fraction form
   10,566/13,417 = 13,417/x
3. Step 3: Cross multiply
   10,566x = 13,417 × 13,417
4. Step 4: Simplify right side
   10,566x = 180,015,889
5. Step 5: Solve for x
   x = 180,015,889/10,566
6. Step 6: Final answer
   x = 17,037.28