Finding the Third Proportional to 9,696 and 14,850

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696 : 14,850 = 14,850 : x
2. Step 2: Convert to fraction form
   9,696/14,850 = 14,850/x
3. Step 3: Cross multiply
   9,696x = 14,850 × 14,850
4. Step 4: Simplify right side
   9,696x = 220,522,500
5. Step 5: Solve for x
   x = 220,522,500/9,696
6. Step 6: Final answer
   x = 22,743.66