Finding the Third Proportional to 8,111 and 17,641

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111 : 17,641 = 17,641 : x
2. Step 2: Convert to fraction form
   8,111/17,641 = 17,641/x
3. Step 3: Cross multiply
   8,111x = 17,641 × 17,641
4. Step 4: Simplify right side
   8,111x = 311,204,881
5. Step 5: Solve for x
   x = 311,204,881/8,111
6. Step 6: Final answer
   x = 38,368.25