Finding the Third Proportional to 6,238 and 13,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,238 : 13,731.50 = 13,731.50 : x
2. Step 2: Convert to fraction form
   6,238/13,731.50 = 13,731.50/x
3. Step 3: Cross multiply
   6,238x = 13,731.50 × 13,731.50
4. Step 4: Simplify right side
   6,238x = 188,554,092.25
5. Step 5: Solve for x
   x = 188,554,092.25/6,238
6. Step 6: Final answer
   x = 30,226.69