Finding the Third Proportional to 13,185 and 21,934

Step by Step Solution

1. Step 1: Write the proportion equation
   13,185 : 21,934 = 21,934 : x
2. Step 2: Convert to fraction form
   13,185/21,934 = 21,934/x
3. Step 3: Cross multiply
   13,185x = 21,934 × 21,934
4. Step 4: Simplify right side
   13,185x = 481,100,356
5. Step 5: Solve for x
   x = 481,100,356/13,185
6. Step 6: Final answer
   x = 36,488.46