Finding the Third Proportional to 3,798 and 5,946

Step by Step Solution

1. Step 1: Write the proportion equation
   3,798 : 5,946 = 5,946 : x
2. Step 2: Convert to fraction form
   3,798/5,946 = 5,946/x
3. Step 3: Cross multiply
   3,798x = 5,946 × 5,946
4. Step 4: Simplify right side
   3,798x = 35,354,916
5. Step 5: Solve for x
   x = 35,354,916/3,798
6. Step 6: Final answer
   x = 9,308.82