Finding the Third Proportional to 23,412 and 51,204

Step by Step Solution

1. Step 1: Write the proportion equation
   23,412 : 51,204 = 51,204 : x
2. Step 2: Convert to fraction form
   23,412/51,204 = 51,204/x
3. Step 3: Cross multiply
   23,412x = 51,204 × 51,204
4. Step 4: Simplify right side
   23,412x = 2,621,849,616
5. Step 5: Solve for x
   x = 2,621,849,616/23,412
6. Step 6: Final answer
   x = 111,987.43