Finding the Third Proportional to 9,648 and 15,300

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 15,300 = 15,300 : x
2. Step 2: Convert to fraction form
   9,648/15,300 = 15,300/x
3. Step 3: Cross multiply
   9,648x = 15,300 × 15,300
4. Step 4: Simplify right side
   9,648x = 234,090,000
5. Step 5: Solve for x
   x = 234,090,000/9,648
6. Step 6: Final answer
   x = 24,263.06