Finding the Third Proportional to 10,296 and 21,665

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296 : 21,665 = 21,665 : x
2. Step 2: Convert to fraction form
   10,296/21,665 = 21,665/x
3. Step 3: Cross multiply
   10,296x = 21,665 × 21,665
4. Step 4: Simplify right side
   10,296x = 469,372,225
5. Step 5: Solve for x
   x = 469,372,225/10,296
6. Step 6: Final answer
   x = 45,587.82