Finding the Third Proportional to 23,384 and 51,304

Step by Step Solution

1. Step 1: Write the proportion equation
   23,384 : 51,304 = 51,304 : x
2. Step 2: Convert to fraction form
   23,384/51,304 = 51,304/x
3. Step 3: Cross multiply
   23,384x = 51,304 × 51,304
4. Step 4: Simplify right side
   23,384x = 2,632,100,416
5. Step 5: Solve for x
   x = 2,632,100,416/23,384
6. Step 6: Final answer
   x = 112,559.89