Finding the Third Proportional to 23,859 and 51,646

Step by Step Solution

1. Step 1: Write the proportion equation
   23,859 : 51,646 = 51,646 : x
2. Step 2: Convert to fraction form
   23,859/51,646 = 51,646/x
3. Step 3: Cross multiply
   23,859x = 51,646 × 51,646
4. Step 4: Simplify right side
   23,859x = 2,667,309,316
5. Step 5: Solve for x
   x = 2,667,309,316/23,859
6. Step 6: Final answer
   x = 111,794.68