Finding the Third Proportional to 22.50 and 52.69

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 52.69 = 52.69 : x
2. Step 2: Convert to fraction form
   22.50/52.69 = 52.69/x
3. Step 3: Cross multiply
   22.50x = 52.69 × 52.69
4. Step 4: Simplify right side
   22.50x = 2,775.97
5. Step 5: Solve for x
   x = 2,775.97/22.50
6. Step 6: Final answer
   x = 123.38