Finding the Third Proportional to 5,188.50 and 9,648

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188.50 : 9,648 = 9,648 : x
2. Step 2: Convert to fraction form
   5,188.50/9,648 = 9,648/x
3. Step 3: Cross multiply
   5,188.50x = 9,648 × 9,648
4. Step 4: Simplify right side
   5,188.50x = 93,083,904
5. Step 5: Solve for x
   x = 93,083,904/5,188.50
6. Step 6: Final answer
   x = 17,940.43