Finding the Third Proportional to 23,406 and 51,006

Step by Step Solution

1. Step 1: Write the proportion equation
   23,406 : 51,006 = 51,006 : x
2. Step 2: Convert to fraction form
   23,406/51,006 = 51,006/x
3. Step 3: Cross multiply
   23,406x = 51,006 × 51,006
4. Step 4: Simplify right side
   23,406x = 2,601,612,036
5. Step 5: Solve for x
   x = 2,601,612,036/23,406
6. Step 6: Final answer
   x = 111,151.50