Finding the Third Proportional to 9,696 and 14,500

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696 : 14,500 = 14,500 : x
2. Step 2: Convert to fraction form
   9,696/14,500 = 14,500/x
3. Step 3: Cross multiply
   9,696x = 14,500 × 14,500
4. Step 4: Simplify right side
   9,696x = 210,250,000
5. Step 5: Solve for x
   x = 210,250,000/9,696
6. Step 6: Final answer
   x = 21,684.20