Finding the Third Proportional to 5,411 and 10,417

Step by Step Solution

1. Step 1: Write the proportion equation
   5,411 : 10,417 = 10,417 : x
2. Step 2: Convert to fraction form
   5,411/10,417 = 10,417/x
3. Step 3: Cross multiply
   5,411x = 10,417 × 10,417
4. Step 4: Simplify right side
   5,411x = 108,513,889
5. Step 5: Solve for x
   x = 108,513,889/5,411
6. Step 6: Final answer
   x = 20,054.31