Finding the Third Proportional to 9,185 and 19,734

Step by Step Solution

1. Step 1: Write the proportion equation
   9,185 : 19,734 = 19,734 : x
2. Step 2: Convert to fraction form
   9,185/19,734 = 19,734/x
3. Step 3: Cross multiply
   9,185x = 19,734 × 19,734
4. Step 4: Simplify right side
   9,185x = 389,430,756
5. Step 5: Solve for x
   x = 389,430,756/9,185
6. Step 6: Final answer
   x = 42,398.56