Finding the Third Proportional to 9,378 and 14,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,378 : 14,456.25 = 14,456.25 : x
2. Step 2: Convert to fraction form
   9,378/14,456.25 = 14,456.25/x
3. Step 3: Cross multiply
   9,378x = 14,456.25 × 14,456.25
4. Step 4: Simplify right side
   9,378x = 208,983,164.06
5. Step 5: Solve for x
   x = 208,983,164.06/9,378
6. Step 6: Final answer
   x = 22,284.41