Finding the Third Proportional to 22,304 and 53,849

Step by Step Solution

1. Step 1: Write the proportion equation
   22,304 : 53,849 = 53,849 : x
2. Step 2: Convert to fraction form
   22,304/53,849 = 53,849/x
3. Step 3: Cross multiply
   22,304x = 53,849 × 53,849
4. Step 4: Simplify right side
   22,304x = 2,899,714,801
5. Step 5: Solve for x
   x = 2,899,714,801/22,304
6. Step 6: Final answer
   x = 130,008.73