Finding the Third Proportional to 8,637 and 17,889

Step by Step Solution

1. Step 1: Write the proportion equation
   8,637 : 17,889 = 17,889 : x
2. Step 2: Convert to fraction form
   8,637/17,889 = 17,889/x
3. Step 3: Cross multiply
   8,637x = 17,889 × 17,889
4. Step 4: Simplify right side
   8,637x = 320,016,321
5. Step 5: Solve for x
   x = 320,016,321/8,637
6. Step 6: Final answer
   x = 37,051.79