Finding the Third Proportional to 2,388 and 5,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,388 : 5,137.50 = 5,137.50 : x
2. Step 2: Convert to fraction form
   2,388/5,137.50 = 5,137.50/x
3. Step 3: Cross multiply
   2,388x = 5,137.50 × 5,137.50
4. Step 4: Simplify right side
   2,388x = 26,393,906.25
5. Step 5: Solve for x
   x = 26,393,906.25/2,388
6. Step 6: Final answer
   x = 11,052.72