Finding the Third Proportional to 10,180 and 17,864

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 17,864 = 17,864 : x
2. Step 2: Convert to fraction form
   10,180/17,864 = 17,864/x
3. Step 3: Cross multiply
   10,180x = 17,864 × 17,864
4. Step 4: Simplify right side
   10,180x = 319,122,496
5. Step 5: Solve for x
   x = 319,122,496/10,180
6. Step 6: Final answer
   x = 31,347.99