Finding the Third Proportional to 11,798 and 18,966

Step by Step Solution

1. Step 1: Write the proportion equation
   11,798 : 18,966 = 18,966 : x
2. Step 2: Convert to fraction form
   11,798/18,966 = 18,966/x
3. Step 3: Cross multiply
   11,798x = 18,966 × 18,966
4. Step 4: Simplify right side
   11,798x = 359,709,156
5. Step 5: Solve for x
   x = 359,709,156/11,798
6. Step 6: Final answer
   x = 30,488.99