Finding the Third Proportional to 23,866 and 51,665

Step by Step Solution

1. Step 1: Write the proportion equation
   23,866 : 51,665 = 51,665 : x
2. Step 2: Convert to fraction form
   23,866/51,665 = 51,665/x
3. Step 3: Cross multiply
   23,866x = 51,665 × 51,665
4. Step 4: Simplify right side
   23,866x = 2,669,272,225
5. Step 5: Solve for x
   x = 2,669,272,225/23,866
6. Step 6: Final answer
   x = 111,844.14