Finding the Third Proportional to 12,204 and 17,838

Step by Step Solution

1. Step 1: Write the proportion equation
   12,204 : 17,838 = 17,838 : x
2. Step 2: Convert to fraction form
   12,204/17,838 = 17,838/x
3. Step 3: Cross multiply
   12,204x = 17,838 × 17,838
4. Step 4: Simplify right side
   12,204x = 318,194,244
5. Step 5: Solve for x
   x = 318,194,244/12,204
6. Step 6: Final answer
   x = 26,072.95