Finding the Third Proportional to 9,767 and 13,915

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767 : 13,915 = 13,915 : x
2. Step 2: Convert to fraction form
   9,767/13,915 = 13,915/x
3. Step 3: Cross multiply
   9,767x = 13,915 × 13,915
4. Step 4: Simplify right side
   9,767x = 193,627,225
5. Step 5: Solve for x
   x = 193,627,225/9,767
6. Step 6: Final answer
   x = 19,824.64