Finding the Third Proportional to 22.47 and 53.69

Step by Step Solution

1. Step 1: Write the proportion equation
   22.47 : 53.69 = 53.69 : x
2. Step 2: Convert to fraction form
   22.47/53.69 = 53.69/x
3. Step 3: Cross multiply
   22.47x = 53.69 × 53.69
4. Step 4: Simplify right side
   22.47x = 2,882.35
5. Step 5: Solve for x
   x = 2,882.35/22.47
6. Step 6: Final answer
   x = 128.28