Finding the Third Proportional to 10,461 and 14,665

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461 : 14,665 = 14,665 : x
2. Step 2: Convert to fraction form
   10,461/14,665 = 14,665/x
3. Step 3: Cross multiply
   10,461x = 14,665 × 14,665
4. Step 4: Simplify right side
   10,461x = 215,062,225
5. Step 5: Solve for x
   x = 215,062,225/10,461
6. Step 6: Final answer
   x = 20,558.48