Finding the Third Proportional to 8,646 and 17,938

Step by Step Solution

1. Step 1: Write the proportion equation
   8,646 : 17,938 = 17,938 : x
2. Step 2: Convert to fraction form
   8,646/17,938 = 17,938/x
3. Step 3: Cross multiply
   8,646x = 17,938 × 17,938
4. Step 4: Simplify right side
   8,646x = 321,771,844
5. Step 5: Solve for x
   x = 321,771,844/8,646
6. Step 6: Final answer
   x = 37,216.27