Finding the Third Proportional to 9,648 and 14,780

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 14,780 = 14,780 : x
2. Step 2: Convert to fraction form
   9,648/14,780 = 14,780/x
3. Step 3: Cross multiply
   9,648x = 14,780 × 14,780
4. Step 4: Simplify right side
   9,648x = 218,448,400
5. Step 5: Solve for x
   x = 218,448,400/9,648
6. Step 6: Final answer
   x = 22,641.83