Finding the Third Proportional to 3,798 and 7,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,798 : 7,231.50 = 7,231.50 : x
2. Step 2: Convert to fraction form
   3,798/7,231.50 = 7,231.50/x
3. Step 3: Cross multiply
   3,798x = 7,231.50 × 7,231.50
4. Step 4: Simplify right side
   3,798x = 52,294,592.25
5. Step 5: Solve for x
   x = 52,294,592.25/3,798
6. Step 6: Final answer
   x = 13,768.98