Finding the Third Proportional to 10,072 and 15,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072 : 15,648 = 15,648 : x
2. Step 2: Convert to fraction form
   10,072/15,648 = 15,648/x
3. Step 3: Cross multiply
   10,072x = 15,648 × 15,648
4. Step 4: Simplify right side
   10,072x = 244,859,904
5. Step 5: Solve for x
   x = 244,859,904/10,072
6. Step 6: Final answer
   x = 24,310.95