Finding the Third Proportional to 4,866 and 10,665

Step by Step Solution

1. Step 1: Write the proportion equation
   4,866 : 10,665 = 10,665 : x
2. Step 2: Convert to fraction form
   4,866/10,665 = 10,665/x
3. Step 3: Cross multiply
   4,866x = 10,665 × 10,665
4. Step 4: Simplify right side
   4,866x = 113,742,225
5. Step 5: Solve for x
   x = 113,742,225/4,866
6. Step 6: Final answer
   x = 23,374.89