Finding the Third Proportional to 10,688 and 14,965

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688 : 14,965 = 14,965 : x
2. Step 2: Convert to fraction form
   10,688/14,965 = 14,965/x
3. Step 3: Cross multiply
   10,688x = 14,965 × 14,965
4. Step 4: Simplify right side
   10,688x = 223,951,225
5. Step 5: Solve for x
   x = 223,951,225/10,688
6. Step 6: Final answer
   x = 20,953.52