Finding the Third Proportional to 22.88 and 53.22

Step by Step Solution

1. Step 1: Write the proportion equation
   22.88 : 53.22 = 53.22 : x
2. Step 2: Convert to fraction form
   22.88/53.22 = 53.22/x
3. Step 3: Cross multiply
   22.88x = 53.22 × 53.22
4. Step 4: Simplify right side
   22.88x = 2,832.24
5. Step 5: Solve for x
   x = 2,832.24/22.88
6. Step 6: Final answer
   x = 123.81